The planet experiences a centripetal force pulling towards its star as it orbits a star in a circular orbit at a constant orbital speed.
Define centripetal force.
A force that causes a body to follow a curved course is known as a centripetal force. The centripetal force always points in a direction that is opposite to the motion of the body and in the general direction of the instantaneous center of curvature of the route. It is "a force by which bodies are drawn or impelled, or in any other manner tend, towards a point as to a center," according to Isaac Newton.
Gravity is the centripetal force that drives astronomical orbits according to Newtonian physics. A frequent illustration of centripetal force is when a body moves uniformly fast in a circular motion. The centripetal force is directed towards the center of the circular route both along the radius and at an angle to the motion.
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In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is 1.34 m. The mug slides off the counter and strikes the floor 0.60 m from the base of the counter.
(a) With what velocity did the mug leave the counter?
(b) What was the direction of the mug's velocity just before it hit the floor?
The cup left the counter with a speed of 5.16 m/s.
What is its maximum speed?An object's ultimate velocity can be expressed as: v = u + at, where v is the final velocity. The final velocity of an object is equal to its original velocity plus acceleration multiplied by the distance it traveled.
The conservation of energy principle can be used to determine the speed at which the cup departed from the counter.
The following factors determine the mug's potential energy:
PE = mgh
PE = (m)(9.81 m/s²)(1.34 m) = 13.3m J
where J denotes joules.
KE = (1/2)mv²
v = sqrt(2PE/m) = sqrt(2gh)
With the values from the problem substituted, we obtain:
v = sqrt(2 x 9.81 m/s²x 1.34 m) = 5.16 m/s.
The mug's velocity was downward or vertically downward shortly before it impacted the ground.
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Which of the following correctly explain why the pressure of a gas in a rigid container increases with increasing temperature? SELECT TWO ANSWERS The average molecular speed increases with temperature, so the molecules collide with the walls of the container more frequently. The average molecular kinetic energy increases with temperature, so the molecules exert a larger average force on the walls of the container when they collide with the walls of the container. The average molecular kinetic energy increases with temperature, so the molecules exert a larger average force on each other when they collide with each other. The average molecular speed increases with temperature, so the molecules collide with each other more frequently.
A nylon string on a tennis racket is under a tension of 290 N.
Part A: If its diameter is 1.00 mm, by how much is it lengthened from its untensioned length of 31.0 cm? Use ENylon=5.00×109N/m2
The nylon string on the tennis racket lengthens by approximately 0.97 cm.
Explain Nylon String.Nylon string is a type of string used in sports equipment such as tennis rackets, badminton rackets, and squash rackets. It is made of nylon fibers and is known for its durability, strength, and elasticity.
To calculate the elongation of the nylon string, we can use the equation for linear deformation under tension:
ΔL = (F * L) / (A * E)
where ΔL is the change in length, F is the tension force, L is the original length, A is the cross-sectional area, and E is the Young's modulus.
We are given the tension force, L, and E, but we need to calculate the cross-sectional area A. Since the diameter of the string is given, we can use the formula for the area of a circle to find A:
A = (π/4) * d^2
where d is the diameter.
Substituting in the values, we get:
A = (π/4) * (0.001 m)^2 = 7.85 x 10^-7 m^2
Now we can calculate the elongation:
ΔL = (290 N * 0.31 m) / (7.85 x 10^-7 m^2 * 5.00 x 10^9 N/m^2) = 0.0097 m or 0.97 cm (to 2 significant figures)
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How do concrete walls minimize the effects of natural phenomena on structures?
They allow the structure to move slightly with natural phenomena but remain solid. They can resist compression forces caused by earthquakes.
They can only protect the walls in the basement of a house.
They create a strong roof so it can’t be damaged in any natural phenomena.
The concrete walls' strength, stability, and resistance to water and fire damage can help to reduce the effects of natural phenomena on buildings.
What is a concrete wall's benefit?Concrete home construction gives a wall structure that is more durable than steel and wood. Concrete walls do not deteriorate when exposed to moisture from wind-driven rain, diffusion, or airflow. Contrary to steel, concrete does not rust when exposed to moisture. Termites are resistant to concrete barriers.
How resilient are structures to natural disasters?Powerful building materials like steel and concrete support the home's façade, and ceilings made of western red cedar temper the industrial style inside. These constructions are resistant to natural calamities since they are constructed of sandbags, barbed wire, and soil.
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A force of 500 N acts on a rocket for 600 s, causing the rocket's velocity to increase. By how much does the rocket's momentum increase?
Please give detailed answer and explanation
Answer:
The change in momentum of an object is equal to the impulse applied to it. Impulse is the product of force and time, or J = FΔt.
In this case, the force acting on the rocket is 500 N, and the time it is applied is 600 s, so the impulse is:
J = FΔt = (500 N) * (600 s) = 300000 Ns
The impulse applied to the rocket causes a change in momentum, which is given by the formula:
Δp = J
So the change in momentum of the rocket is 300000 Ns.
Estimate the difference in oxygen concentration within the plastic across the. wall of the ... rounding the pipe shows that in steady state 0.633!mg of
A student sits on a rotating stool holding two
3 kg objects. When his arms are extended
horizontally, the objects are 1 m from the
axis of rotation, and he rotates with angular
speed of 0.64 rad/sec. The moment of inertia
of the student plus the stool is 8 kg m2
and is assumed to be constant. The student then
pulls the objects horizontally to a radius 0.3 m
from the rotation axis. Calculate the final angular speed of the
student. Answer in units of rad/s.
part2: Calculate the change in kinetic energy of the
system.
Answer in units of J.
Part 1: the final angular speed is 0.64 + 0.86 = 1.50 rad/s. Substituting the values, 1.05 J.
What is angular speed?Angular speed is the rate of change of angular displacement of a body over a period of time. It is also known as rotational speed and is usually measured in revolutions per minute (RPM) or radians per second (rad/s).
Part 1:
The angular speed is given by the formula w = Iα, where w is the angular speed, I is the moment of inertia and α is the angular acceleration. Since the moment of inertia is constant, the change in angular speed is given by Δw = ΔIα.
The change in moment of inertia is given by ΔI = mr2, where m is the mass of the objects and r is the change in radius.
So, the change in angular speed is given by Δw = mr2α.
Substituting the given values,
Δw = (3 kg)(1 m - 0.3 m)2(0.64 rad/s)
Δw = 0.86 rad/s
Therefore, the final angular speed is 0.64 + 0.86 = 1.50 rad/s.
Part 2:
The change in kinetic energy of the system is given by ΔK = ΔIw2/2.
Substituting the values,
ΔK = (3 kg)(1 m - 0.3 m)2(1.50 rad/s)2/2
ΔK = 1.05 J.
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An infinitely long wire carries a current of I = 185 A. Randomized Variables [ I=185A 50% Part (a) Consider a circle with a radius r and centered on the wire. Determine the magnitude of the magnetic field B at points along the circle in terms of I and r. 50% Part (b) If r = 022 m, calculate the numerical value of B in tesla.
The magnitude of the magnetic field B at points along the circle can be determined using Ampere's law.
According to Ampere's law, the integral of the magnetic field B along a closed path is equal to the current I enclosed by that path.
Mathematically, this can be expressed as ∫B * Δl = μ0I where μ0 is the permeability of free space, B is the magnetic field, dl is an infinitesimal element of the path, and I is the current enclosed by the path
So, in part (a): The magnitude of the magnetic field, B, at points along the circle in terms of I and r can be found using the formula B = μ0*I/2π*r, where μ0 is the permeability of free space and r is the radius of the circle.
Whereas, the magnitude of the magnetic field, in T, when the radius of the circle r = 0.22 m, is equal to
B = (4π x 10-7)*(185 A) / (2π*0.22 m) = 0.667 T.
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According to the solar nebular theory, a supernova triggered the collapse of a nebula, which began the formation of clumps of gas and dust. According to the solar nebular theory, these clumps most likely became the.
"According to the solar nebular theory, a supernova triggered the collapse of a nebula, which began the formation of clumps of gas and dust. According to the solar nebular theory, these clumps most likely became the Sun and the planets."
According to the so-called nebular theory of the early solar system, the Sun and planets were condensed from a gaseous cloud known as a solar nebula. According to the theory put forth by Swedish philosopher Emanuel Swedenborg in 1734, the planets were once part of a nebular shell that encircled the Sun before it broke apart.
German philosopher Immanuel Kant suggested that the Sun and planets were formed by a slowly rotating nebula that was ultimately compressed by the power of its own gravity into a spinning disk. In 1796, French astronomer and mathematician Pierre-Simon Laplace suggested a similar theory, but his planets originated before the Sun.
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a particle is launched sich that it's maximum range is 26.4m.what is the speed at which it is launched?
An example of kinetic energy continuously being changed to potential energy and back again might be _______.
An example of kinetic energy being continuously changed to potential energy and back again is a swinging pendulum.
When a pendulum is at the highest point in its swing, it has maximum potential energy because it has been lifted to a height above its rest position. At this point, the pendulum is stationary and has no kinetic energy. As the pendulum starts to swing back down, it gains kinetic energy as it accelerates towards the bottom of its swing. As the pendulum reaches the bottom of its swing, it has maximum kinetic energy because it is moving at its fastest speed. As the pendulum starts to swing back up again, it begins to lose kinetic energy as it decelerates against gravity. As the pendulum reaches the highest point of its swing, the process starts all over again, with potential energy being converted to kinetic energy and back again in a continuous cycle. This process will continue until the energy in the system is dissipated due to friction and other forms of resistance, eventually causing the pendulum to come to a stop.
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A point charge
q = −4.0 ✕ 10−12 C
is placed at the center of a spherical conducting shell of inner radius 3.4 cm and outer radius 3.9 cm. The electric field just above the surface of the conductor is directed radially outward and has magnitude 7.5 N/C.
a) What is the charge density (in C/m2) on the inner surface of the shell?
b) What is the charge density (in C/m2) on the outer surface of the shell?
c) What is the net charge (in C) on the conductor?
a) The charge density on the inner surface of the shell is -4.37 ✕ 10−10 C/m2.
b) The charge density on the outer surface of the shell is 4.37 ✕ 10−10 C/m2.
c) The net charge on the conductor is -2.56 ✕ 10−10 C.
Density is a measure of the mass of an object in relation to its volume. It is expressed as mass per unit volume and is typically expressed in grams per cubic centimeter (g/cm3). Density is an important physical property of matter because it is a measure of an object’s mass and how tightly packed together it is. Density can vary depending on the material, temperature, and pressure.
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This table shows how the levels of classification have changed with each major scientist. Which number belongs in the space labeled x?.
Carl Woese classified the three domains of life so 10 belongs in the space labeled X.
Carl Woese was not primarily a physicist, but rather a microbiologist and evolutionary biologist who made groundbreaking contributions to our understanding of the tree of life and the origins of life on Earth. However, Woese did have some interactions with the field of physics, particularly in his early career.
After completing his undergraduate studies in biophysics at Amherst College, Woese pursued a graduate degree in biophysics at Yale University. While at Yale, he studied under the physicist William F. Meggers, who was interested in using spectroscopy to study biological systems. Woese's early research focused on using spectroscopy to investigate the structure of RNA molecules.
Later in his career, Woese's work on the classification of living organisms was influenced by concepts from information theory, a field with strong connections to physics. He used techniques such as sequence alignment and phylogenetic analysis to understand the relationships between different species, and his work helped to revolutionize our understanding of the diversity of life on Earth.
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Answer:A
Explanation:
which statement is true? which statement is true? force is a vector with si units called newtons. force is a scalar with si units called newtons. force is a dimensionless vector quantity. force is a dimensionless scalar quantity.
The statement that is true is: "Force is a vector with [tex]SI[/tex] unit called newtons."
What is meant by force?A force is an influence that can cause an object to accelerate, deform or change its motion. It is typically defined as any interaction that can change the motion of an object, whether by increasing or decreasing its speed, changing its direction, or changing its shape.
Forces are typically described by their strength and direction and are often represented as vectors in physics equations. They can be caused by a variety of phenomena, including gravitational attraction, electromagnetic fields, pressure or tension, and more.
Some common examples of forces in everyday life include the force of gravity, the force required to push or pull an object, the force exerted by a spring, and the force exerted by an electric or magnetic field.
The statement "Force is a vector with [tex]SI[/tex] units called newtons."
A force is a vector quantity because it has both magnitude and direction. The [tex]SI[/tex] unit of force is newton, which is named after Sir Isaac Newton, and is defined as the amount of force required to accelerate a mass of one kilogram at a rate of one meter per second squared.
So, force is not a scalar quantity, which only has magnitude, nor is it dimensionless, as it has a defined unit of measurement.
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Complete equation Fᵧ/Fₓ = _________.
Answer:
Yx
Explanation:
..............................
Wind farms are a source of renewable energy found around the world. The power p (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 600kw in a 13 m/s wind, how much power does it generate in a 14 m/s wind?.
The turbine generates approximately 781.78 kW of power in a 14 m/s wind.
The power generated by a wind turbine is directly proportional to the cube of the wind speed. Therefore, we can write:
p ∝ [tex]v^3[/tex]
where "p" is the power generated in kilowatts (kW) and "v" is the wind speed in meters per second (m/s). We can also introduce a constant of proportionality "k" to get:
p = k [tex]v^3[/tex]
To find the value of "k", we can use the given information that the turbine generates 600 kW in a 13 m/s wind. Thus:
600 = k x [tex]13^3[/tex]
Solving for "k", we get:
k = 600 / [tex]13^3[/tex]
k = 0.270270...
Now we can use this value of "k" to find the power generated by the turbine in a 14 m/s wind. Thus:
p = 0.270270... x [tex]14^3[/tex]
p ≈ 781.78 kW
Therefore, the turbine generates approximately 781.78 kW of power in a 14 m/s wind.
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How many seconds will light leaving New York City take to reach Los Angeles about 4500km
Answer:
Below
Explanation:
Speed of light : 3 x 10^8 m/s
4500 km = 4,500,000 m
4 500 000 m / 3 x 10^8 m/s = .015 s
When two objects are in contact with no relative motion, which of the following statements about the frictional force between them, is true? (FN is the normal force.)a. The frictional force is always equal to μknb. The frictional force is always less than μknc. The frictional force is determined by other forces on the objects so it can be either equal to or less than μkn.
The frictional force may have a magnitude that is equal to or less than sn.
What kind of motion occurs when two bodies do not move relative to one another?Static denotes being still. Static friction is the friction that exists between two surfaces that are in contact when there is no relative motion between them. It is a force that self-adjusts.
Static friction occurs when the two surfaces that are creating it are neither moving nor sliding in relation to one another.The frictional force that exists between surfaces while they are at rest in relation to one another is known as static friction. When a tiny amount of force is applied, the static force's magnitude is identical in the other direction.
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A load Q = -820 nC is uniformly distributed in a ring of radius 2.4 m. A point load q = +530 nC is stationary in the centre of the ring. Points A and B lie on the axis of the ring. What is the minimum work that an external force must produce to transfer the electron from B to A? (e = 1,60 × 10-19 C, k = 1/4pe0 = 8,99 × 109 N∙m2/C2)
To calculate the minimum work required to move the point charge q from point B to A, we need to calculate the electric potential difference between the two points, and then use the equation W = qΔV, where W is the work done, q is the charge being moved, and ΔV is the potential difference.
To find the electric potential at point A and B due to the charged ring, we can use the equation for electric potential due to a charged ring:
V = kQ/r
Where k is Coulomb's constant, Q is the total charge of the ring, and r is the distance from the center of the ring to the point where the potential is being calculated.
For point B, the potential due to the charged ring is:
VB = kQ/r = (8.99 × 10^9 N·m^2/C^2) * (-820 × 10^-9 C) / (2.4 m) = -306.55 V
For point A, the potential due to the charged ring is:
VA = kQ/r = (8.99 × 10^9 N·m^2/C^2) * (-820 × 10^-9 C) / (4.8 m) = -153.27 V
The potential difference between point A and B is:
ΔV = VA - VB = (-153.27 V) - (-306.55 V) = 153.28 V
The minimum work required to move the charge q from point B to A is:
W = qΔV = (530 × 10^-9 C) * (153.28 V) = 81.09 × 10^-6 J
Therefore, the minimum work required to transfer the electron from B to A is 81.09 × 10^-6 J.
13 A string of length 1.25m fixed at both ends resonates at a maximum frequency of 800Hz. Find the velocity of sound in air.
To solve for the velocity of sound in air, we can use the formula:
v = fλ
where:
v = velocity of sound
f = frequency of the wave
λ = wavelength of the wave
In this problem, we are given the frequency and the length of the string, but we need to find the wavelength. For a string fixed at both ends, the wavelength is given by:
λ = 2L/n
where:
L = length of the string
n = harmonic number
In this case, the string is fixed at both ends, so the harmonic number will be an odd number:
n = 1, 3, 5, ...
We are given that the maximum frequency is 800 Hz, which corresponds to the fundamental frequency (n = 1). Therefore:
λ = 2L/n = 2(1.25 m)/1 = 2.5 m
Now we can substitute the values into the formula for the velocity of sound:
v = fλ = (800 Hz)(2.5 m) = 2000 m/s
Therefore, the velocity of sound in air is 2000 m/s.
If a force is applied when using a lever over 2 meters to move the object 1 meter, the distance over which the force is applied is called the _____.
The distance over which the force is applied when using a lever is called the effort distance.
What is force?Force is defined as the rate of change of momentum.
Here,
The distance over which the force is applied when using a lever is called the effort distance. It refers to the distance between the point where the effort is applied and the fulcrum of the lever. In the case we described, where a force is applied when using a lever over 2 meters to move an object 1 meter, the effort distance would be 2 meters. The load distance, on the other hand, refers to the distance between the fulcrum and the point where the load is applied. Understanding the relationship between the effort and load distances is crucial to determining the mechanical advantage of a lever system.
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What is the best way to study physics
Studying physics can be challenging, but there are several strategies that can help you learn the subject more effectively. Here are some tips:
1. Review and understand the basics: Physics builds on foundational concepts, so it's essential to have a solid grasp of the basics before moving on to more complex material.
2. Practice problem-solving: Physics is all about solving problems, so practice is key. Work through as many problems as you can, and use a variety of resources such as textbooks, problem sets, and online resources.
Create study groups: Studying with others can be a great way to learn physics. Discussing concepts, working through problems, and teaching each other can help reinforce learning.
4. Seek help when needed: Physics can be challenging, and it's okay to ask for help. Seek assistance from your teacher, tutor, or study group when you are struggling with a concept or problem.
5. Use visual aids: Physics often deals with abstract concepts, so using visual aids such as diagrams, graphs, and videos can help to make the material more concrete and easier to understand.
6. Stay organized: Keep track of assignments, due dates, and notes in an organized way to avoid confusion and ensure that you don't fall behind.
7. Stay curious: Physics can be a fascinating subject, and cultivating a genuine interest in the subject can help motivate you to learn more and understand it better.
The displacement of a standing wave on a string is given by D=3.6sin(0.60x)cos(48t) , where x and D are in centimeters and t is in seconds.
Part A
What is the distance (cm ) between nodes?
Part B
Give the amplitude of each of the component waves.
Part C
Give the frequency of each of the component waves.
Part D
Give the speed of each of the component waves.
Part E
Find the speed of a particle of the string at x=3.00cm when t=2.2s .
The answers to the questions are given in parts respectively.
Part A
The distance between nodes is given by the wavelength of the standing wave, which can be found using the equation:
λ = 2π/k
Where k is the wave number, given by:
k = 0.60
Plugging this into the equation for λ gives:
λ = 2π/0.60
λ = 10.47 cm
Therefore, the distance between nodes is 10.47 cm.
Part B
The amplitude of each of the component waves is given by the coefficient of the sine or cosine term in the equation for the displacement of the standing wave. In this case, the amplitude of each of the component waves is 3.6 cm.
Part C
The frequency of each of the component waves is given by the coefficient of the time term in the equation for the displacement of the standing wave. In this case, the frequency of each of the component waves is 48 Hz.
Part D
The speed of each of the component waves can be found using the equation:
v = λf
Where λ is the wavelength and f is the frequency. Plugging in the values for λ and f from Parts A and C gives:
v = (10.47 cm)(48 Hz)
v = 502.56 cm/s
Therefore, the speed of each of the component waves is 502.56 cm/s.
Part E
The speed of a particle of the string at a given position and time can be found by taking the derivative of the displacement equation with respect to time. This gives:
v = -3.6sin(0.60x)(48)sin(48t)
Plugging in the values for x and t gives:
v = -3.6sin(0.60(3.00 cm))(48)sin(48(2.2 s))
v = -3.6sin(1.8)(48)sin(105.6)
v = -164.81 cm/s
Therefore, the speed of a particle of the string at x=3.00 cm when t=2.2 s is -164.81 cm/s.
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Describe the associated artifacts -- the stone tools, cooking pots, etc. and the analysis conducted to determine their role in cannibalism.
Stone tools, kitchen implements, and other relevant artefacts, as well as the examinations carried out to determine their role in cannibalism.
How do you cook food?The procedure for preparing food. I cook the majority of the meals for our household. Cuisine describes a method of preparing food. a technique used in French cooking. foods associated to cooking. The state of English cooking: The intense flavours you're looking for come from a good pan that has been heated to an extreme temperature. the relationship between cooking skills and food choices.
What kinds of stone tools are there?There are two categories of stone tools: flaked stone tools, such as knives, scrapers, and projectile points, and ground stone tools, such as manos (grinding stones-left) & hand axes (arrow heads and spear points-above). The three basic components of a point are the stem, base, and blade.
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an object is horizontally dragged across the surface by a 100N force acting parallel to the surface.find the amount of work done by the force in movING the object through a distance of 8m
Answer:
the amount of work done by the force in moving the object through a distance of 8m is 800 Joules.
Explanation:
The work done by a force is given by the product of the force and the distance moved in the direction of the force. In this case, the force is acting parallel to the surface and causing the object to move horizontally, so the work done is:
Work = force x distance
Work = 100N x 8m
Work = 800 Joules (J)
Therefore, the amount of work done by the force in moving the object through a distance of 8m is 800 Joules.
How does light block?
When light encounters an obstacle such as a wall, it can be either absorbed, transmitted, reflected, or refracted. The way in which light is blocked depends on the characteristics of the obstacle and the properties of the light.
For example, a solid object such as a wall absorbs light, meaning that the energy of the light is transferred to the object, causing the object to heat up. This can result in the object becoming warmer, such as a wall or floor in direct sunlight, or it can result in the object changing its chemical properties, such as with photosensitive materials like photographic film.
Reflection occurs when light bounces off an object, changing the direction of the light. This can result in a mirror image or a diffuse reflection, depending on the characteristics of the object.
Refraction occurs when light passes through an object, changing the direction of the light. This can occur when light passes through transparent materials such as water or glass.
Finally, light can also be blocked by scattering, which occurs when light is dispersed in many different directions as it encounters small particles in the atmosphere, such as dust or water droplets. This is why the sky appears blue during the day, as the shorter blue wavelengths of light are scattered more than the longer wavelengths of red and orange light.
An object weighing 300 N in air is immersed in water after being tied to a string connected to a balance. The scale now reads 262 N. Immersed in oil, the object appears to weigh 273 N. Find the density of the object. Answer in units of kg/m^3.
The density of the object is:
rho object = m / V = 300 / 720 = [tex]0.4167 kg/m^3[/tex]
What best defines the density of an object?When an object is immersed in liquid, it appears to lose weight equal to the weight of the liquid displaced. Apparent weight loss is caused by an upwardly acting buoyant force that balances the weight of the object.
This problem can be solved using Archimedes' principle that the buoyant force on an object is equal to the weight of the liquid displaced by the object.
First, let's calculate the volume of the object. An object in air weighs 300 N. When immersed in water, the weight is reduced to 262 N. This means that the buoyant force acting on the object is 300 - 262 = 38 N.
Buoyancy is equal to the weight of water displaced by an object. Therefore, the volume of the object is:
[tex]V = m\ water / rho\ water = F\ buoyant / g / rho\ water[/tex]
where m water is the mass of water displaced by the object, rho water is the density of the water, F buoyancy is the buoyant force acting on the object, and g is the acceleration is respect of gravity.
Inserting the given value will result in:
[tex]V = 38 / 9.81 / 1000 = 0.00387 m^3[/tex]
Now let's calculate the density of an object when submerged in oil.
The object immersed in oil weighs 273 N. The buoyant force acting is:
F buoyancy = 300 - 273 = 27 N
The buoyant force is same to the weight of oil displaced by the object. So the volume of the object is:
V = m oil / rho oil = F buoyant / g / rho oil
where m oil is the mass of oil displaced by the object, rho oil is the density of the oil, F is the buoyant force acting on the object, and g is the acceleration due to gravity.
Inserting the given value will result in:
V = 27 / 9.81 / rho oil
We know that the volume of this object is 0.00387 [tex]m^3[/tex]. After inserting this value:
0.00387 = 27 / 9.81 / low oil
Solving Rho Oil gives:
Rho oil = 720 kg/
So the object density is:
Raw object = m / V = 300 / 720 =
0.4167/[tex]m^3[/tex]
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A 50 kg student holding a 7 kg backpack rides a 4 kg skateboard down the sidewalk at 3 m/s. What is the total momentum of the student, backpack, and skateboard in units of kg*m/s?.
Answer:
Below
Explanation:
Total mass = ( 50 + 7 + 4) = 61 kg
momentum = m * v
= 61 kg * 3 m/s = 183 kg m/s
A wave connected armature winding has V1 slots with 54 conductors per slot. If the flux per pole is 0.025 Wb and number of poles is 8, Find the speed at which generator should be run to give 513 V. Also find the speed If the armature is lap connected.
The required speed if the armature is lap connected is approximately 1425 RPS.
What is wavelength?Wavelength is a fundamental property of waves, including electromagnetic waves like light and radio waves, as well as other types of waves, such as sound waves or water waves.
Here,
To find the speed at which the generator should be run to give an output voltage of 513 V, we can use the formula:
E = 4.44 * f * N * φ * Z
First, let's find the value of Z,
Z = V₁ * Nc
Z = V₁ * slots * conductors per slot
Z = V₁ * 54
Substituting the given values, we get,
513 = 4.44 * f * N * 0.025 * V₁ * 54
Simplifying, we get:
N = 513 / (4.44 * f * 0.025 * V₁ * 54)
Substituting f = 50 Hz, and V₁ = 1, we get:
N = 513 / (4.44 * 50 * 0.025 * 54)
N ≈ 1.71 RPS
Therefore, the speed at which the generator should be run to give an output voltage of 513 V is approximately 1.71 RPS.
Now, to find the speed if the armature is lap connected, we can use the formula,
E = 2 * p * φ * N * Z / 60A
For a lap winding, A = p.
Substituting the given values, we get,
513 = 2 * 8 * 0.025 * N * V1 * 54 / (60 * 8)
N = 513 * 60 / (2 * 8 * 0.025 * V1 * 54)
Substituting V₁ = 1, we get:
N = 513 * 60 / (2 * 8 * 0.025 * 54)
N ≈ 1425RPS
Therefore, the speed of the armature is lap connected is approximately 1425 RPS.
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Heptane gas reacts with oxygen gas to give carbon dioxide gas and water vapor (gas). If you mix heptane and oxygen in the correct stoichiometric ratio, and if the total pressure of the mixture is 300 mm hg, what are the partial pressures of heptane.
The partial pressures of heptane is zero
The balanced chemical equation for the reaction between heptane and oxygen is:
C7H16 + 11O2 → 7CO2 + 8H2O
From the equation, we can see that for every mole of heptane that reacts, we need 11 moles of oxygen. Therefore, if we mix heptane and oxygen in the correct stoichiometric ratio, all the heptane will react, and none will be left over. This means that the partial pressure of heptane in the mixture will be zero.
The total pressure of the mixture is given as 300 mmHg. According to Dalton's law of partial pressures, the total pressure of a mixture of gases is equal to the sum of the partial pressures of the individual gases in the mixture. Therefore, if the partial pressure of heptane is zero
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