Once t can be located, more details are required.You would need further information (namely, the amount of the rotational motion ) before you could discover a numerical value for t; knowing and 0 would not be sufficient to enable you to solve for t.
What does rotation about just a fixed axis entail?When every particle in a body revolves in a circle around a single line, this is known as pure rotational motion.The rotational axis is this line.Then, at the same time, the same deflection occurs in all of the radii vectors from of the shaft to all of the particles.
What quantity is regarded when the rotation's axis is fixed—angular velocity?A spinning object's angular velocity is defined as a vector quantity in more sophisticated investigations of rotational motion.This vector has magnitude and points exteriorly along the axis of rotation for an object revolving anticlockwise about a fixed axis.
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1. Ray Bender observes that light striking a sheet of material at 30 degree angle to the surface is bent to an angle of 36 degrees relative to the normal as it passes through the material. Through what material is the light passing?
Pyrex
Ruby
Crown glass
Water
2. While sitting at the pool, you see a coin at the bottom of the pool. The light reflects from the coin to the surface forming an angle of 20o with the normal,
1. If water has an index of refraction of 1.33, determine
45.4
14.9
62.9
27.1
Using the Snell's law, it was found that the medium through which the light is passing is the water.Therefore, the correct option is D.
What is Snell's law?Snell's Law states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the indices of refraction of the two media:
1.) n₁ sinθ₁ = n₂ sinθ₂
In the given problem:
For Water (index of refraction about 1.33), we get:
sinθ₁ = (1.00 sin36) / 1.33
sinθ₁ = 0.304
θ₁ = sin⁻¹(0.304)
θ₁ = 17.5 degrees
The only material for which the angle of incidence is close to 30 degrees is water. Therefore, the material through which the light is passing is most likely water.Therefore, the correct option is D.
2.) Using Snell's law, we can calculate the angle of incidence of the light ray as it enters the water:
n₁ sin θ₁ = n₂ sin θ₂
where n₁ is the refractive index of air (approximately 1), θ₁ is the angle of incidence (unknown), n₂ is the refractive index of water (1.33), and θ₂is the angle of refraction (20 degrees).
Plugging in the values and solving for θ₁:
1 x sin θ₁ = 1.33 x sin(20)
sin(theta1) = 1.33 x sin(20)
θ₁= sin⁻¹ (1.33 x sin (20))
θ₁ = 45.4 degrees
Therefore, the angle of incidence of the light ray in air is approximately 45.4 degrees. Hence, the correct option is A.
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The question is incomplete, but most probably the complete question is,
1. Ray Bender observes that light striking a sheet of material at 30 degree angle to the surface is bent to an angle of 36 degrees relative to the normal as it passes through the material. Through what material is the light passing?
A. Pyrex
B. Ruby
C. Crown glass
D. Water
2. While sitting at the pool, you see a coin at the bottom of the pool. The light reflects from the coin to the surface forming an angle of 20o with the normal,
1. If water has an index of refraction of 1.33, determine
A. 45.4
B. 14.9
C. 62.9
D. 27.1
The mixing entropy formula derived in the previous problem actually applies to any ideal gas, and to some dense gases, liquids, and solids as well. For the denser systems, we have to assume that the two types of molecules are the same size and that molecules of different types interact with each other in the same way as molecules of the same type (same forces, etc.). Such a system is called an ideal mixture. Explain why, for an ideal mixture.
For an ideal mixture of two or more substances, the mixing entropy can be derived based on the same principles as for ideal gases. The reason is that ideal mixtures also have particles that are in constant random motion, and the entropy of mixing is still related to the number of possible ways the particles can be arranged.
Ideal mixture explained.
In an ideal mixture, the assumption is that the molecules of different substances are the same size and shape, and have the same intermolecular forces with each other as they do with their own kind. This means that there are no attractive or repulsive forces between particles of different types, which simplifies the calculation of the entropy of mixing.
The mixing entropy of an ideal mixture is determined by the number of possible ways the molecules of the two substances can be distributed among the available volume. Just as in the case of ideal gases, this leads to an increase in entropy when the two substances are mixed, as there are more ways to distribute the molecules than when they are separated.
Therefore, the concept of an ideal mixture allows us to apply the same principles of thermodynamics to denser systems as we do for ideal gases, which makes it a useful tool for studying a wide range of physical and chemical processes involving mixtures.
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The mixing entropy formula applies to ideal mixtures because there are no intermolecular forces between different species, there are no volume changes upon mixing, and the mixing is completely random.
What is Ideal Mixing Entropy Formula?An ideal mixture is a hypothetical mixture of gases, liquids or solids where the components are assumed to behave as an ideal gas, and where the two types of molecules are the same size and interact with each other in the same way as molecules of the same type (same forces, etc.). In an ideal mixture, the mixing entropy formula applies due to the following reasons:
No intermolecular forces between different species: In an ideal mixture, the molecules of the different components do not attract or repel each other. This means that the interactions between the different species are negligible and the enthalpy of mixing is zero.No volume changes upon mixing: In an ideal mixture, the components have the same size and shape, and the volume of the mixture is equal to the sum of the volumes of the individual components. Therefore, there are no volume changes upon mixing, and the entropy of mixing is solely dependent on the number of ways of arranging the molecules.Random mixing: The assumption of ideal mixing also implies that the mixing is completely random, with no preferential interactions between the different species. This means that the entropy of mixing is solely dependent on the number of ways the molecules can be arranged, and this is given by the mixing entropy formula.Therefore, the mixing entropy formula applies to ideal mixtures because there are no intermolecular forces between different species, there are no volume changes upon mixing, and the mixing is completely random.
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a building is being knocked down with a wrecking ball, which is a big metal sphere that swings on a 14-m -long cable. you are (unwisely!) standing directly beneath the point from which the wrecking ball is hung when you notice that the ball has just been released and is swinging directly toward you.
Answer:
Explanation:
The type of motion executed will be the simple harmonic motion. The time do you have to move out of the way will be 1.74 sec.
What is simple harmonic motion?
When an object executes a to and fro motion in the definite plane when it is tied with the string. The type of motion will be the simple harmonic motion.
Simple harmonic motion is a form of periodic motion in mechanics and physics in which the restoring force on the moving item is directly proportional to the size of the object.
The time period is given by the formula;
Hence the time do you have to move out of the way will be 1.74 sec.
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A6 kg block moves with a constant speed 5 m/s on a horizontal frictionless surface and collides elastically with an identical block initially at rest. The second block collides and sticks to the last 6 kg block which was initially at rest.
What is the speed of the second 6 kg block after the first collision? What is the speed of the third 6 kg block after the second collision?
For the first 6 kg block, the speed after the collision will be 2.5 m/s. For the second 6 kg block, the speed after the collision will be zero since it sticks to the first 6 kg block.
What is Speed?Speed is a measure of how quickly an object moves or how quickly a task is performed. It is usually measured in units of distance per unit of time, such as metres per second, miles per hour, or kilometres per hour. Speed is an important concept in physics and is used to describe motion of all kinds, from elementary particles to everyday objects such as cars, planes, and rockets.
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the wheel is now mounted to a frictionless fixed axle and suspended from a vertical support. several turns of light cord are wrapped around the wheel, and a mass m is attached to the end of the cord and allowed to hang. the mass is released from rest. derive the instantaneous velocity of the mass after the wheel has turned one revolution. a. do this using forces and kinematics
The instantaneous velocity of the mass after the wheel has turned one revolution is given by:
[tex]\mathrm v = \sqrt{(2gh - (\pi^2r^2 / t^2))}[/tex]
What is Instantaneous velocity ?
Instantaneous velocity is the velocity of an object at a particular moment in time or at a specific point in its motion. It is the rate of change of position of an object with respect to time at a particular instant in time. It can be calculated by taking the limit of the average velocity as the time interval approaches zero. In other words, it is the velocity of an object at a specific point in time, rather than over an interval of time.
To derive the instantaneous velocity of the mass after the wheel has turned one revolution, we can use the conservation of energy principle and kinematics equations.
First, let's consider the conservation of energy of the system. At the beginning, the mass m is at rest and has a potential energy given by mgh, where h is the initial height of the mass above the ground. As the mass falls, this potential energy is converted into kinetic energy. The wheel also gains kinetic energy as it turns, but since the axle is frictionless, we can assume that no energy is lost due to friction. Therefore, the total initial energy of the system is given by:
Ei = mgh
When the mass has fallen one revolution, it has moved a distance equal to the circumference of the wheel, 2πr, where r is the radius of the wheel. At this point, the mass has reached its maximum velocity, and all of its initial potential energy has been converted into kinetic energy. The wheel has also gained kinetic energy, which is equal to the kinetic energy of the mass, since no energy has been lost due to friction. Therefore, the total final energy of the system is given by:
Ef = 0.5mv² + 0.5Iω²
where v is the velocity of the mass, I is the moment of inertia of the wheel, and ω is the angular velocity of the wheel.
Since the wheel has turned one revolution, its angular displacement is equal to 2π radians. We can use the kinematic equation for rotational motion, which relates the angular displacement, angular velocity, and angular acceleration, to find the angular velocity of the wheel after one revolution:
θ = ωi t + 0.5 α t²
where θ = 2π radians, ωi = 0, and α = 0 since the wheel has a constant angular velocity. Solving for ω, we get:
where t is the time it takes for the mass to fall one revolution.
We can now use the expression for the moment of inertia of a solid disk, [tex]I = 0.5mr^2,[/tex]to simplify the final energy expression to:
[tex]\mathrm Ef = 0.5mv^2 + 0.25mr^2\omega^2[/tex]
Equating the initial and final energies and solving for v, we get:
[tex]\mathrm mgh = 0.5mv^2 + 0.25mr^2\omega^2[/tex]
[tex]\mathrm{v^2 = 2gh - 0.5r^2\omega^2}[/tex]
Substituting the expression for ω, we get:
[tex]\mathrm{v^2 = 2gh - (\pi^2r^2 / t^2)}[/tex]
Taking the square root of both sides and simplifying, we get:
[tex]\mathrm{v = \sqrt{(2gh - (\pi^2r^2 / t^2))}}[/tex]
Therefore, the instantaneous velocity of the mass after the wheel has turned one revolution is given by:
[tex]\mathrm{v = \sqrt{(2gh - (\pi ^2r^2 / t^2))}}[/tex]
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A 6.0-kg rock is dropped from a height of 9.0 m. At what height is the rock's kinetic energy twice its potential energy?
Answer:
the height at which the rock's kinetic energy is twice its potential energy is approximately 4.5 m.
Explanation:
When the rock is dropped from a height of 9.0 m, it initially has potential energy equal to mgh, where m is the mass of the rock, g is the acceleration due to gravity (9.8 m/s^2), and h is the height from which the rock was dropped. Therefore, the potential energy of the rock is:
U = mgh = (6.0 kg) * (9.8 m/s^2) * (9.0 m) = 529.2 J
As the rock falls, its potential energy is converted to kinetic energy, given by the expression (1/2)mv^2, where v is the velocity of the rock. At a height where the kinetic energy of the rock is twice its potential energy, we can write:
(1/2)mv^2 = 2mgh
Simplifying this expression, we get
v^2 = 4gh
At this height, the kinetic energy of the rock is given by:
K = (1/2)mv^2 = (1/2)m(4gh) = 2mgh = 2U
Substituting the values of m, g, and U, we get:
v^2 = 4gh = 4(9.8 m/s^2)h = (2 * 529.2 J) / 6.0 kg = 176 J/kg
Solving for h, we get:
h = (v^2) / (4g) = (176 J/kg) / (4 * 9.8 m/s^2) ≈ 4.5 m
reposting this question
jacob is kayaking across the chattooga river at a velocity of 2.5 m/s east. the river current today is 6 m/s south. find is velocity and direction,
Upon crossing the Chattooga River, the Jacob's last speed was measured at 6.5 m/s, with the direction of travel being to the south-east.
Describe the resulting velocity vector in detail.The overall vector velocity of an object is in fact the sum of its individual vector velocities.The sum of the vector forces exerted on an object are represented by the scalar product of its mass and acceleration vector.We measure two perpendicular velocities due to the kayaker and the river: 2.5 m/s downstream inside a southerly direction and 6 m/s across the river in such an easterly direction.
The Pythagorean Theorem makes the following predictions about the amount of a resultant velocity:
v = √(2.5)² + (6)²
v = √42.25
v = 6.5 m/s
The direction that results will be south-east.
As a result, the Jacob's final speed when it crosses the Chattooga River is determined to be 6.5 m/s, with the direction of travel being south-east.
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Calculate the force of gravity on the 0.70- kg mass if it were 1.9×10^7 m above Earth's surface (that is, if it were four Earth radii from Earth's center).
Answer:
This answer his answers is quite long but here's your answer
Explanation:
The force of gravity on an object depends on two factors: the mass of the object and the distance between the object and the center of the Earth. The formula to calculate the force of gravity is:
F = G * (m1 * m2) / r^2
where F is the force of gravity, G is the gravitational constant (6.67 x 10^-11 N m^2/kg^2), m1 is the mass of the first object (in this case, the mass of the Earth), m2 is the mass of the second object (0.70 kg), and r is the distance between the centers of the two objects (in this case, the distance between the center of the Earth and the 0.70 kg mass, which is 4 times the radius of the Earth, or 4 * 6,371 km = 25,484 km).
First, we need to convert the distance from meters to kilometers:
1.9 x 10^7 m = 19 x 10^6 m = 19,000 km
So, the distance between the center of the Earth and the 0.70 kg mass is 25,484 km - 19,000 km = 6,484 km.
Now we can plug in the values into the formula:
F = G * (m1 * m2) / r^2
F = (6.67 x 10^-11 N m^2/kg^2) * (5.97 x 10^24 kg * 0.70 kg) / (6,484 km * 1000 m/km)^2
F = 2.17 x 10^-1 N
Therefore, the force of gravity on the 0.70 kg mass if it were 1.9 x 10^7 m above Earth's surface would be approximately 0.217 N.
`A 860-kg Escalade traveling 40 m/s at 72 degrees has a perfect inelastic collision with a 220-kg mini-cooper traveling 22 m/s at 210 degrees. Find with what velocity the two cars continue moving after the collision.
The required two cars move together after the collision with a velocity of 15.13 m/s.
What is conservation of momentum?Conservation of momentum is a fundamental principle in physics that states that the total momentum of a closed system of objects is conserved, meaning that it does not change over time, as long as no external forces act on the system.
Here,
Momentum of the Escalade: p₁ = m₁ * v₁
= 860 kg * 40 m/s * cos(72)
= 26731.13 kg m/s
The momentum of the mini-cooper: p₂ = m₂ * v₂
= 220 kg * 22 m/s * cos(210)
= -10399.48 kg*m/s
(negative because it's traveling in the opposite direction)
The total momentum before the collision is the sum of these two momenta:
p₁ + p₂ = 26731.13 kgm/s - 10399.48 kgm/s = 16331.65 kg*m/s
After the collision, the two cars stick together and move with a common velocity v. We can use the conservation of momentum principle again to find this velocity,
Total mass after the collision: m₁ + m₂ = 860 kg + 220 kg = 1080 kg
Total momentum after the collision: (m1 + m2) * v
Setting these equal, we get:
p₁ + p₂ = (m₁ + m₂) * v
16331.65 kg*m/s = 1080 kg * v
v = 15.13 m/s
Therefore, the two cars move together after the collision with a velocity of 15.13 m/s.
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A 6.0-kg rock is dropped from a height of 9.0 m. At what height is the rock's kinetic energy twice its potential energy?
The height at which the rock's kinetic energy is twice its potential energy is 4.5 meters above the ground.
What is Potential Energy ?
Potential energy is energy that is stored in an object or system as a result of its position or configuration. It is a form of energy that has the potential to do work, meaning that it can be converted into other forms of energy such as kinetic energy or thermal energy
At any point during the fall, the total energy of the rock (E) is equal to the sum of its potential energy (U) and its kinetic energy (K):
E = U + K
The potential energy of the rock is given by:
U = mgh
where m is the mass of the rock, g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the rock above some reference point.
The kinetic energy of the rock is given by:
K = (1/2)mv^2
At some height h, the kinetic energy of the rock is twice its potential energy. We can express this mathematically as:
K = 2U
Substituting the expressions for U and K and solving for h, we get:
(1/2)mv^2 = 2mgh
Simplifying and solving for h, we get:
h = (v^2)/(4g)
To find v, we can use the fact that the initial potential energy of the rock is equal to its final kinetic energy (since the rock is dropped from rest):
U = K
mgh = (1/2)mv^2
Simplifying and solving for v, we get:
v = sqrt(2gh)
Substituting this expression for v into the equation for h, we get:
h = (2gh)/(4g)
Simplifying and canceling the factor of g, we get:
h = 0.5h
Therefore, the height at which the rock's kinetic energy is twice its potential energy is halfway between the initial height and the ground.
Plugging in the values given in the problem, we get:
h = (9.0 m)/2 = 4.5 m
Therefore, the height at which the rock's kinetic energy is twice its potential energy is 4.5 meters above the ground.
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It takes tiffany 0. 25 hours to get to school in the mornings. She lives 4. 5 miles away from the school. At what speed (in miles per hour) is she traveling to get there?.
If It takes Tiffany zero.25 hours to get to school in the mornings. She lives 4.5 miles far away from the faculty, then the speed of traveling off the Tiffany would be 28.96 kilometers per hour.
velocity of touring = general distance traveled by means of the Tiffany / general time
velocity of touring = 4.5 × 1.609 / 0.25
= 28.96 kilometers per hour
Speed in physics is a scalar quantity that refers to the rate at which an object moves, usually expressed in units of meters per second (m/s) or kilometers per hour (km/h). It is defined as the distance an object travels per unit of time, which means that it only takes into account the magnitude of the object's motion and not its direction.
Instantaneous speed refers to the speed of an object at any given moment, while average speed is calculated over a period of time. The speed of an object can be influenced by several factors, such as the forces acting upon it and the medium through which it is moving.
In addition to speed, there are other related concepts in physics, such as velocity, which includes both the speed and direction of an object's motion, and acceleration, which describes the fee at which an item's speed modifications over time.
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in which circuit will the capacitors reach half their maximum charge in the least amount of time when switch s is closed
The circuit where the capacitors reach half their maximum charge in the least amount of time when switch s is closed. is Circuit E.
What is a circuit?A circuit is an electrical network composed of various electrical components, such as resistors, capacitors, inductors, transistors, diodes, and other electronic devices, that are interconnected to perform a specific function. The components are connected by conducting wires that carry electrical current through the circuit.
Circuits can be designed to perform a wide range of functions, such as amplification, filtering, switching, and many others. They are used in a variety of electronic devices, from simple toys and household appliances to complex computers and communication systems.
Circuits can be classified into two types: analog and digital. Analog circuits process continuous signals, while digital circuits process signals in discrete values. Both types of circuits are important and widely used in modern electronics. Circuit E takes less time to reach half of its maximum charge
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1. Compared to those with high self-esteem, people with
low self-esteem experience rejection as:
A. Less painful
B. More painful
C. Just as painful
Answer:
b more painful is correct
Explanation:
:)
this raboratory activity is broken up into four distinct parts so that the goals and variables of each part can be
observed separately.
In Part I, students manipulate the
observe a magnetic field.
In Part II, students manipulate the
objects to observe an electric field.
In Part III, students intentionally change the
generated.
In Part IV, students intentionally change the
magnetic field.
•and document the attraction with a magnet to
~ and document the attraction between the
and measure the electric current
•and observe the generation of a
Answer:
This raboratory activity is broken up into four distinct parts so that the goals and variables of each part can be observed separately. In Part I, students manipulate the observe a magnetic field. In Part II, students manipulate the objects to observe an electric field. In Part III, students intentionally change the generated. In Part IV, students intentionally change the magnetic field. •and document the attraction with a magnet to ~ and document the attraction between the and measure the electric current •and observe the generation of a
In Part I of this lab activity, students manipulate objects to observe a magnetic field. In Part II, they manipulate objects to observe an electric field. In Part III, they intentionally change the generated electric field. In Part IV, they intentionally change the magnetic field and document the attraction with a magnet to and document the attraction between the objects and measure the electric current and observe the generation of a magnetic field.
The laboratory activity contains four distinct parts related to magnetic fields and electric fields. It is designed to help high school students understand the fundamental principles of electricity and electromagnetism in physics. Students manipulate, observe, document, and measure in all parts of the activity to gain comprehensive exposure.
Explanation:The laboratory activity you're referring to is subdivided into four distinct parts, each focusing on different aspects of Physics related to magnetic fields and electric fields.
In Part I of the lab, students experiment with a magnet to understand the mechanics of a magnetic field. Part II shifts the focus onto electric fields where students manipulate various objects and document interactions.
For Part III and Part IV, students are required to measure the electrical current generated and observe the change in generation when different variables are intentionally altered in the magnetic field.
Overall, this activity offers comprehensive exposure to the fundamental principles of electromagnetism and electricity in physics.
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A packing crate with mass 80. 0 kg is at rest on a horizontal frictionless surface at t 0 a net horizontal force in the x direction is applied to the crate the force has a constant value of 80. 0 n for 12. 0 s and then decreases linearly with time so it becomes zero after an additional 6. 00 s.
The required final speed of the crate after 18 seconds is calculated to be 15 m/s.
The mass of the packing crate is given as 80 kg.
The applied force is 80 N for 12 s.
So, the force is given as,
f = (mv₁ - mv₂)/t
where,
f is force
m is mass
t is time
v₁ is final velocity
v₂ is initial velocity
80 × 12 = 80 v₁ - 80 × 0
v₁ = 12 m/s
After 12 seconds, the crate's final velocity is 12 m/s.
The force drops to zero, linearly for the next 6 seconds. So,
F = 80 - (80/6)t
In the case of the force's magnitude linearly decreasing,
∫F dt = m v₁ - m v₂
∫(80 - (80/6)t)dt = 80 v₁ - 80 × 12
80 t - 80t²/(2×6) = 80 v₁ - 960
For the next coming 6 seconds, t = 6 then,
80 × 6 - (80/12) × 6² = 80 v₁ - 960
⇒ v₁ = 15 m/s
Thus, after 18s, we can conclude that the final speed of the crate is 15 m/s.
The question is incomplete. The complete question is 'What is the final speed of the crate, 18.0 s after the force was first applied?'
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Quantity with kgm^3/s^1
The quantity with units of [tex]kgm^3/s^1[/tex] is mass flow rate or mass flow density.
What does mass flow mean?Mass flow, is a physical quantity that represents the amount of mass flowing through a unit area per unit time. It is the mass flow per unit area and is typically denoted by the symbol ṁ/A. It is a measure of how much mass is flowing per unit area in a given system.
For example, it is often used to describe the rate of mass transfer in a chemical reaction, where a mass flow density is used to measure the amount of reactant or product flowing per unit area per unit time. Mass flow density is also used to describe the rate of mass flow in a fluid through a particular area, such as in a pipe or channel.
The quantity with units of [tex]kgm^3/s^1[/tex] is mass flow rate or mass flux density.
Mass flow rate is the amount of mass that passes through a given cross-section area per unit time. It is typically denoted by the symbol "ṁ" and has units of kilograms per second (kg/s).Mass flow density, on the other hand, is the amount of mass that passes through a given cross-section area per unit time and per unit area. It is typically denoted by the symbol "ṁ/A" and has units of kilograms per second per square meter (kg/s/m²).To know more about Mass Flow, visit:
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A sea breeze is when the cooler air over the ocean moves in toward land.
true or false
your father brought you a pairof shoes when you wore the shoes you realized there was problem the shoes were too long why might such a problem arise and how can it be mitigated
The shoes were two long because the accurate measurement of the foot size was not carefully by your father.
What are shoes?It is a type of footwear used to protect the human foot completely.
Given is that your father brought you a pair of shoes when you wore the shoes you realized there was problem the shoes were too long.
The shoes were two long because the accurate measurement of the foot size was not carefully by your father.
Therefore, the shoes were two long because the accurate measurement of the foot size was not carefully by your father.
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figure left shows a standard cmos inverter. however, during manufacturing, the circuit was contaminated
I'm sorry, I'm not able to see the figure you mentioned. Can you please provide more information or context about the figure and the question you have related to it?
A 1. 50 kg book is sliding along a rough horizontal surface. At point a it is moving at 3. 21 m/s , and at point b it has slowed to 1. 25 m/s.
A) The work done on the book between points A and B is 5.32 J in the direction opposite to the book's motion.
B) The book is moving at 1.91 m/s at point C.
C) If +0.750 J of work was done on the book from point B to point C, the book would be moving at 2.31 m/s at point C.
(a) To find the work done on the book between points A and B, we need to use the work-energy principle, which states that the net work done on an object is equal to its change in kinetic energy:
Net work done = change in kinetic energy
The change in kinetic energy can be found by subtracting the initial kinetic energy at point A from the final kinetic energy at point B:
change in kinetic energy = (1/2)mvB^2 - (1/2)mvA^2
where m is the mass of the book, vA is the velocity of the book at point A, and vB is the velocity of the book at point B.
Substituting the given values, we get:
change in kinetic energy = (1/2)(1.50 kg)(1.25 m/s)^2 - (1/2)(1.50 kg)(3.21 m/s)^2
= -5.32 J
Since the final velocity is less than the initial velocity, the change in kinetic energy is negative. Therefore, the net work done on the book between points A and B is also negative. The magnitude of the net work done is:
|net work done| = |-5.32 J| = 5.32 J
Therefore, the work done on the book between points A and B is 5.32 J in the direction opposite to the book's motion.
(b) Since -0.750 J of work is done on the book from point B to point C, we can use the work-energy principle again to find the final velocity at point C:
Net work done = change in kinetic energy
Substituting the given values, we get:
-0.750 J = (1/2)(1.50 kg)(vC^2 - 1.25^2 m/s^2)
Solving for vC, we get:
vC = 1.91 m/s
Therefore, the book is moving at 1.91 m/s at point C.
(c) If +0.750 J of work was done on the book from point B to point C, we would have:
0.750 J = (1/2)(1.50 kg)(vC^2 - 1.25^2 m/s^2)
Solving for vC, we get:
vC = 2.31 m/s
Therefore, if +0.750 J of work was done on the book from point B to point C, the book would be moving at 2.31 m/s at point C.
The given question is incomplete, the complete question is
A 1.50-kg book is sliding along a rough horizontal surface. at point a it is moving at 3.21 m>s, and at point b it has slowed to 1.25 m>s. (a) how much work was done on the book between a and b? (b) if -0.750 j of work is done on the book from b to c, how fast is it moving at point c? (c) how fast would it be moving at c if +0.750 j of work was done on it from b to c?
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Calculate the magnitude of the force applied by the man if he pushes parallel to the incline A man pushes on a piano with mass 190 kg;it slides at constant velocity down a ramp that is inclined at 10.0 above the horizontal floor Neglect any friction acting on the piano. Express your answer with the appropriate units.
The magnitude of the force applied by the man is equal to the weight of the piano (190 kg) multiplied by the cosine of the ramp angle (10.0 degrees). The magnitude of the force is thus equal to 1647.2 N.
What is Force?Force is an external influence that will cause an object to move, accelerate, decelerate, remain in motion, or stop. Forces are measured in Newtons (N) and are represented by vectors, which have both a magnitude and a direction. There are different types of forces such as contact forces, non-contact forces, and forces in nature. Examples of contact forces are friction, tension and normal force. Examples of non-contact forces are gravity and magnetism.
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Carter has 60 balloons. 412 of the balloons are black, and 312 of the balloons are white. The rest of the balloons are red. Which series of calculations shows how many red balloons carter has?.
The required red balloons in the carter when the fractions of white and black balloons are specified is calculated to be 25.
The carter has a total of 60 balloons.
4/12 balloons are said to be black.
3/12 balloons are said to be white.
The remaining are red.
The total number of white and black balloons in the carter are,
Total fraction of white and black balloons ⇒ (4/12 + 3/12) = 7/12
The total number of white and black balloons are ⇒ 7/12 × 60 = 35
As the carter contains a mix of red, black and white balloons, the number of red balloons are,
⇒ 60 - 35 = 25
Thus, the required red balloons in the carter are 25.
The given question is inappropriate. The complete question is 'Carter has 60 balloons. 4/12 of the balloons are black, and 3/12 of the balloons are white. The rest of the balloons are red. Which series of calculations shows how many red balloons Carter has?'
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The diameter of a copper atom is approximately 2. 28e-10 m. The mass of one mole of copper is 64 grams. Assume that the atoms are arranged in a simple cubic array. Remember to convert to s. I. Units.
The density of copper can be calculated as the mass of one mole of copper (0.064 kg) divided by the volume of the unit cell (5.25 x 10-24 m³), which is equal to 1.21 x 103 kg/m³.
What is mole?Mole is a unit of measurement used in chemistry to measure the amount of a substance. It is defined as the amount of a substance that contains 6.022 × 10^23 atoms, molecules, or other units. One mole is equal to the atomic or molecular weight of the substance in grams.
The diameter of a copper atom is 2.28e-10 m, which is equal to 2.28 x 10-10 m. To convert this to s.I. units, we must multiply by 100 to get 0.228 x 10-8 m.
The mass of one mole of copper is 64 grams, which is equal to 64 g. To convert this to s.I. units, we must divide by 1000 to get 0.064 kg.
Assuming that the atoms are arranged in a simple cubic array, the volume of the unit cell is equal to the diameter of the atom cubed (0.228 x 10-8 m)³ = 5.25 x 10-24 m³.
Therefore, the density of copper can be calculated as the mass of one mole of copper (0.064 kg) divided by the volume of the unit cell (5.25 x 10-24 m³), which is equal to 1.21 x 103 kg/m³.
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A basketball player makes 39% of her shots from the free throw line. Suppose that each of her shots can be considered independent and that she takes 5 shots. Let x = the number of shots that she makes. What is the mean for x?.
The mean of the number of shot that she makes is 1.95
The probability of making a free throw is 0.39, and the probability of missing a free throw is 0.61 (1 - 0.39). Since each shot is independent, we can use the binomial distribution to calculate the probability of making x shots out of 5.
Consider p is the probability of success in each trials
The equation to calculate the mean of a binomial distribution is:
mean = n × p
where n is the number of trials
In this case, n = 5 and p = 0.39, so:
mean = n × p = 5 × 0.39 = 1.95
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what is the unit of sound
Answer:
Decibel (dB) is the unit of sound.
Answer:
Decibels ( dB)
Explanation:
When measuring sound intensity in units, it is referred to as decibels
A microwave oven has a power requirement of 1,263 W. A frozen dinner requires 5.0 min to heat on full power.
The energy required to heat the frozen dinner is 378,900 joules.
What is Power?
Power is the rate at which energy is transferred, converted, or used. It is a measure of how quickly work can be done, or how quickly energy can be transformed from one form to another.
In physics, power is defined as the work done per unit time, or the rate of energy transfer. The SI unit of power is the watt (W), which is defined as one joule per second (J/s).
To calculate the energy required to heat the frozen dinner, we can use the following formula:
First, we need to convert the power requirement from watts to joules per second (or watts):
1,263 W = 1,263 J/s
Next, we need to convert the heating time from minutes to seconds:
5.0 min = 300 s
Now we can plug these values into the formula:
Energy = 1,263 J/s x 300 s
Energy = 378,900 J
Therefore, the energy required to heat the frozen dinner is 378,900 joules.
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After voltage was constant at 1.5 V, what did you observe about the motion of charges in the 3. external circuit? Observations (As voltage is increased, how do these quantities change?) Reasoning C V E Part 1 b-"V" and "A" constant- Battery Connected Keep the battery connected to the capacitor. With voltage at 1.5 V across capacitor and its area constant at its minimum value of 100 mm, slowly decrease the distance between the plates of capacitor to 2.0 mm. Observe the changes and provide reasoning in table below. was being decreased, what did you observe about the motion of charges in 4. As plate separation the external circuit? Reset to original configuration. Click the refresh button. Select all four options in top right comer (Plate Charges, Bar Graph, Electric Field, Current Direction). Connect Voltmeter across the capacitor and increase the battery voltage to 1.5 v After charging the capacitor to 1.5 V, disconnect the battery. Part 2 a "A" constant - Battery Disconnected With area of plates constant at 100 mm2, slowly decrease the distance between the plates of capacitor to 2.0 mm. Observe the changes and provide reasoning in table below. 8. Obtain an expression for magnitude of electric field E between the plates in terms of Q. A and . Show all work. USE EXTRA CALCULATIONS SHEET with calculations clearly identified if necessary to show all your work. Observations (As plate separation is decreased, how do these quantities change?)
1)Observations and Reasoning for Part 1b:
As for the motion of charges in the external circuit, it depends on the specific configuration of the circuit.
2)Observations and Reasoning for Part 2a:
The electric field between the plates of the capacitor also increases as the plate separation is decreased.
3)Expression for Electric Field E:
E = Q/(εA) = CV/(εA)
What is electric field?
A physics concept called the electric field is used to describe how an electric charge affects nearby charges. A modest positive test charge would feel that force per unit charge if it were placed at that location in space.As a vector quantity, the electric field has both magnitude and direction. The magnitude of the electric field is determined by the magnitude of the electric force at that location, and the direction is determined by the direction in which a positive test charge would travel in response to the electric force.According to the details, it appears that you ran an experiment to examine how the voltage across a capacitor and the plate separation affected the motion of charges and other physical parameters.
1. Observations and Justification for Part 1b:
The capacitance of the capacitor increases as the distance between the plates is reduced while maintaining a constant voltage of 1.5 V and a constant area of 100 mm2. The reason for this is that a parallel plate capacitor's capacitance is inversely proportional to the space between its plates.
Because the electric field is inversely proportional to the voltage across the capacitor, it also increases when the plate gap between the capacitor's plates decreases oppositely related to the space between the plates. As a result, the electric field between the plates gets stronger as the distance between the plates gets smaller while the voltage across the capacitor stays constant at 1.5 V.
2. Part 2a observations and reasoning:
The capacitor's capacitance increases for the same reason as in Part 1b as the space between its plates is reduced while maintaining its area at 100 mm2 and the battery is unplugged.
As the plate gap decreases, as previously mentioned, the electric field between the capacitor's plates also grows.
3. Expression for Electric Field E:
The following equation can be used to determine the size of the electric field E existing between a parallel plate capacitor's plate:
E = V/d
where d is the distance between the plates and V is the voltage across the capacitor.
The equation can be used to get the capacitance C of a parallel plate capacitor.
C = ε*A/d
where ε is the permittivity of the material between the plates, A is the area of each plate, and d is the distance between the plates.
By rearranging the above equation, we can express the electric field E in terms of Q, A, and C:
E = Q/(ε*A)
Since C = Q/V, we can also express the electric field E in terms of Q, A, and V:
E = Q/(εA) = CV/(εA)
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In Canadian football, after a touchdown the team has the opportunity to earn one more point by kicking the ball over the bar between the goal posts. The bar is 10.0 ft above the ground, and the ball is kicked from ground level, 36.0 ft horizontally from the bar in (Figure 1) . Football regulations are stated in English units, but convert to SI units for this problem.
A)There is a minimum angle above the ground such that if the ball is launched below this angle, it can never clear the bar, no matter how fast it is kicked. What is this angle? ===15.5
B) If the ball is kicked at 46.0 ∘ above the horizontal, what must its initial speed be if it is just to clear the bar? Express your answer in m/s.
I got part A but I can not figure out B
Therefore, the initial speed of the ball must be 27.8 m/s to just clear the bar when kicked at an angle of 46.0 degrees.
What is speed?Speed is a measure of how fast an object is moving, usually expressed as the distance traveled per unit of time. It is a scalar quantity, meaning that it has magnitude but no direction. The SI unit for speed is meters per second (m/s), although other units such as kilometers per hour (km/h) or miles per hour (mph) are also commonly used.
Here,
To solve part B, we can use the following kinematic equations:
y = yi + viyt - (1/2)gt² (vertical motion)
x = xi + vixt (horizontal motion)
where
y and x are the final vertical and horizontal displacements, respectively
yi and xi are the initial vertical and horizontal displacements, respectively (both are 0 in this case)
viy and vix are the initial vertical and horizontal velocities, respectively
g is the acceleration due to gravity (-9.81 m/s²)
t is the time of flight (the time it takes for the ball to reach the bar)
We want to find the initial velocity (v) that will allow the ball to just clear the bar, given an initial launch angle of 46.0 degrees above the horizontal. To do this, we can use the fact that the final vertical displacement (y) is equal to the height of the bar (10.0 ft = 3.05 m), and the final horizontal displacement (x) is equal to the distance from the ball to the bar (36.0 ft = 10.97 m).
y = 3.05 m
x = 10.97 m
θ = 46.0°
g = 9.81 m/s²
First, we can find the time of flight (t) by using the vertical motion equation:
y = yi + viyt - (1/2)gt²
3.05 m = 0 + visin(46.0°)*t - (1/2)(9.81 m/s²)*t²
Rearranging, we get a quadratic equation in t:
(1/2)(9.81 m/s²)t² - visin(46.0°)*t + 3.05 m = 0
Solving for t using the quadratic formula, we get:
t = [visin(46.0°) ± √((visin(46.0°))² - 4*(1/2)(9.81 m/s²)(3.05 m))]/(2(1/2)(9.81 m/s²))
We can ignore the negative solution, since time cannot be negative. Simplifying, we get:
t = [visin(46.0°) + √((visin(46.0°))² - 9.81 m/s²*3.05 m)]/4.905 m/s²
Now we can use the horizontal motion equation to find the initial velocity:
x = vixt
10.97 m = vicos(46.0°)*t
Substituting for t, we get:
10.97 m = vicos(46.0°)[visin(46.0°) + √((visin(46.0°))² - 9.81 m/s²*3.05 m)]/4.905 m/s²
Simplifying and solving for vi, we get:
vi = √(4.905 m/s² 10.97 m/[cos(46.0°)sin(46.0°) + √(sin²(46.0°) - 4(1/2)(9.81 m/s²)(3.05 m)/(vi²*cos²(46.0°)))])
= 27.8 m/s
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100 joules of work are done on an object when a force of 10n pushes it. how far is the object pushes it? what power is used if this is done in 4 seconds?
I need the distance and the work done (with explanation please)
Work is the amount of energy transferred by a force, and can be calculated using the formula W = Fd, where F is the force, and d is the distance. In this case, the work is 100 joules, and the force is 10N. Therefore, the distance is d = W/F = 100/10 = 10 meters.
What is energy?Energy is the ability to do work. It is a measure of the capacity to cause change. Energy can take many forms, including kinetic energy (energy of motion), potential energy (stored energy of position), electrical energy, thermal energy, light energy, sound energy, chemical energy, and nuclear energy. Energy can be converted from one form to another, but it cannot be created or destroyed. For example, energy from the sun can be converted into electrical energy and stored in batteries.
The power used is the rate of work done, and can be calculated using the formula P = W/t, where W is the work done, and t is the time. In this case, the power used is P = 100/4 = 25 Joules/second.
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Problem 7: A secret agent skis off a slope inclined at θ = 28 degrees below horizontal at a speed of v0 = 12.9 m/s. He must clear a gorge, and the slope on the other side of the gorge is h = 15.5 m below the edge of the upper slope. what is the maximum width
The maximum width of the gorge that the secret agent can clear is 33.2 m.
What is gorge?Gorge is a steep-sided valley that is typically formed when a river or stream cuts through a landscape. Gorges can occur in a variety of landscapes and can range greatly in size. They are often found in areas of limestone or sandstone, and are often filled with spectacular scenery, including waterfalls, rapids, and cliffs. Gorges can also be formed by ice, erosion, and glacial activity.
The maximum width of the gorge that the secret agent can clear is given by the equation:
W = 2v0^2 * sin(2θ) / g
Where W is the maximum width of the gorge, v0 is the initial speed of the agent, θ is the angle of the slope, and g is the acceleration due to gravity.
Substituting the given values into the equation, we get:
W = 2 * (12.9 m/s)^2 * sin(2 * 28°) / 9.81 m/s^2
W = 33.2 m
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