Velocity is a vector quantity that has both magnitude and direction. When Alice is running due West at 6m/s, her velocity can be represented as a vector of magnitude 6m/s in the direction of the West. Similarly, when she is running due East at 4m/s, her velocity can be represented as a vector of magnitude 4m/s in the direction of the East.
Since the directions are opposite, we can show the velocities as vectors in opposite directions by assigning negative signs to one of the velocities. For example, we can write:
Velocity of Alice = 6 m/s West - 4 m/s EastHere, the negative sign indicates that the velocity of 4 m/s is in the opposite direction to the velocity of 6 m/s. The resulting velocity of Alice is the difference between the two velocities, which is:
Velocity of Alice = 6 m/s - 4 m/sVelocity of Alice = 2 m/s WestTherefore, the velocity of Alice in opposite directions can be represented as a vector of magnitude 2 m/s in the direction of the West.
~ Zeph
can the volume that contains the air–fuel mixture within the piston–cylinder device be used as a system to determine the rate at which an automobile adds carbon dioxide to the atmosphere? A. yes B.No
It is possible to gauge the rate at which an automobile adds carbon dioxide to the atmosphere using the volume that houses the air-fuel mixture within the piston-cylinder apparatus. Correct option is A.
The volume that contains the air-fuel mixture within the piston-cylinder device is a closed system, and the combustion of the fuel in this system produces carbon dioxide as a byproduct. The rate at which the automobile emits carbon dioxide into the atmosphere can be determined by measuring the volume of carbon dioxide produced per unit time within the closed system of the piston-cylinder device.
This measurement can be used to evaluate the efficiency of the engine and to develop strategies to reduce carbon dioxide emissions. Hence option A is the correct answer.
To know more about the carbon dioxide, here
brainly.com/question/3049557
#SPJ4
How much work is required to move an electron
through a potential difference of 3. 00 volts?
(1) 5. 33 × 10^–20 J (3) 3. 00 J
(2) 4. 80 × 10^–19 J (4) 1. 88 × 10^19 J
The amount of work required to move an electron through a potential difference of 3.00 volts is 4.80 × 10⁻¹⁹ J.
The amount of needed work (energy) to move an electron through a potential difference can be calculated using the formula W = qV, where W is the work, q is the charge, and V is the potential difference. The charge of an electron is 1.60 × 10⁻¹⁹ C, so the work can be calculated as follows:
W = (1.60 × 10⁻¹⁹ C)(3.00 V)
W = 4.80 × 10⁻¹⁹ J
Therefore, the correct answer is option 2, 4.80 × 10⁻¹⁹ J.
Learn more about energy and electron at https://brainly.com/question/16025039
#SPJ11
A boy is whirling a rock attached to a string overhead in a horizontal circle with a radius of 1m. The rock has a tangential velocity of 12.56 m/s.
What is the centripetal acceleration of of the rock? (Please just plug in the number. No units & Round to the Hundreds place 0.00)
Answer:
The centripetal acceleration of the rock can be calculated using the formula:
a = v^2 / r
where v is the tangential velocity and r is the radius of the circle.
Substituting the given values, we get:
a = (12.56 m/s)^2 / 1m = 157.93 m/s^2
Rounding to the hundreds place, the centripetal acceleration of the rock is approximately 157.93 m/s^2.
The lowest-pitch tone to resonate in a pipe of length L that is open at both ends is 200 Hz. Which one of the following frequencies will NOT resonate in the same pipe?A) 400 Hz B) 600 Hz C) 800 Hz D) 900 Hz E) 1000 Hz
The correct option is D. all of the given frequencies except for 900 Hz are resonant frequencies of the pipe.
f = (n/2L) * v
In this case, the fundamental frequency (n=1) is 200 Hz, so we can solve for the speed of sound:
v = f * 2L / n = 200 * 2L / 1 = 400L
Now we can calculate the frequencies of the first few overtones:
n=2: f = 2 * 200 = 400 Hz
n=3: f = 3 * 200 = 600 Hz
n=4: f = 4 * 200 = 800 Hz
n=5: f = 5 * 200 = 1000 Hz
So all of the given frequencies except for 900 Hz (option D) are resonant frequencies of the pipe.
Frequency is a fundamental concept in physics that describes the number of cycles or oscillations of a wave or periodic motion per unit of time. It is defined as the reciprocal of the period, which is the time required for one complete cycle or oscillation. Frequency is measured in units of Hertz (Hz), which represents the number of cycles per second. For example, if a wave completes 10 cycles in one second, its frequency is 10 Hz.
Frequency plays a crucial role in many areas of physics, including optics, acoustics, and electromagnetism. In optics, frequency is related to the color of light, with higher frequencies corresponding to shorter wavelengths and therefore bluer colors. In acoustics, frequency determines the pitch of a sound, with higher frequencies producing higher-pitched sounds. In electromagnetism, frequency is related to the energy and wavelength of electromagnetic radiation, such as radio waves, microwaves, and X-rays.
To learn more about Frequency visit here:
brainly.com/question/5102661
#SPJ4
Rank the following objects in order of their circular velocities, from smallest to largest.a. a 5 -kg object orbiting Earth halfway to the Moonb. a 10 -kg object orbiting Earth just above Earth's surfacec. a 15 -kg object orbiting Earth at the same distance as the Moond. a 20 -kg object orbiting Earth one-quarter of the way to the Moon
The required order of circular velocities, from smallest to largest is calculated to be d < a < c < b, where, a, b, c, d are the given options.
The velocity equation for the objects moving in circular motion is given by the equation,
v = √(G m/r)
where,
v is the velocity
G is the Gravitational constant
m is the mass of the object
r is the radius of the orbit
a. A 5 kg object halfway to the Moon circling the Earth
In this case, the radius of the orbit is the half of the distance between the Earth and the moon.
r = distance between earth and moon/2 = 384400000 m/2 = 192200000 m
So, v₁ = √(G m/r) = √(6.67408× 10⁻¹¹ × 5/192200000) = 1.317 × 10⁻⁹ m/s
b. A 10-kilogram object is circling the planet just above its surface
The orbit's radius is similar to the size of the planet Earth.
r = r earth = 6371000 m
So, v₂ = √(G m/r) = √(6.67408× 10⁻¹¹ × 10/6371000) = 1.02 × 10⁻⁸ m/s
c. A 15 kg object circling the Earth at a distance equal to that of the Moon
r = distance between the earth and the moon = 384400000 m
So, v₃ = √(G m/r) = √(6.67408× 10⁻¹¹ × 15/384400000) = 1.61 × 10⁻⁹ m/s
d. A 20 kg object that is circling the Earth and is one-quarter to the Moon
r = 1/4(distance between the earth and the moon) = 384400000 m/4 = 96100000 m
So, v₄ = √(G m/r) = √(6.67408× 10⁻¹¹ × 20/96100000) = 1.17 × 10⁻⁹ m/s
Thus, v₄ < v₁ < v₃ < v₂. And the order of options are d < a < c < b.
To know more about velocity:
https://brainly.com/question/13502063
#SPJ4
louisa builds the body of a race car out of cardboard. she tapes a straw to the cardboard so that one end of the straw is tilted up and the other end hangs over the back of the car. then, she placed an inflated balloon over the tilted end of the straw and releases the mouth of the balloon to allow air to flow through the straw. the race car rolls forward as the balloon releases air through the straw, as shown in the picture below. image courtesy of nasa how does luisa's race car demonstrate newton's third law of motion? a. the forward movement of the car forces air to leave the balloon faster. b. the forward movement of the car forces air to leave the balloon slower. c. the balloon pushes against the air, which results in a zero net force on the balloon. d. the balloon pushes the air out, and the air pushes back on the balloon.
The air pushes back on the balloon after being pushed out by the balloon.
The correct option is D.
What are Newton's 3 laws in simple terms?The first law states that an object's motion will not change unless a force acts on it. The second rule states that an object's force may be calculated by multiplied its mass by its acceleration. The third law states that when two particles come into contact, they press against one another in an equal-sized and opposing orientation.
What are instances of Newton's third law?Every action has a corresponding and opposing reaction, in accordance with Newton's third law. Watch a diver push off the edge of a pool. They accelerate in the opposite direction of the push, pushing with their feet against the wall of the pool.
To know more about Newton third law visit:
https://brainly.com/question/29768600
#SPJ1
A monatomic gas is adiabatically compressed to 0.125 of its initial volume. How do each of the following quantities change?
A) The rms speed.
B) The mean free path.
C) The thermal energy of the gas.
D) The molar specific heat at constant volume.
A) The rms speed of the gas increases by a factor of √2.
B) The mean free path of the gas decreases by a factor of 2.
C) The thermal energy of the gas remains constant.
D) The molar specific heat at constant volume increases by a factor of 5/3.
The rms speed of a gas is proportional to the square root of its temperature. Since the compression is adiabatic (i.e., no heat is added or removed from the gas), the temperature of the gas increases by a factor of 2 when its volume is compressed to 0.125 of its initial volume. Thus, the rms speed increases by a factor of √2.
The mean free path of a gas is inversely proportional to its pressure. Since the pressure of the gas increases by a factor of 8 (i.e., 1/0.125) when its volume is compressed to 0.125 of its initial volume, the mean free path decreases by a factor of 2.
The thermal energy of a gas is proportional to its temperature and the number of particles (i.e., the amount of gas). Since the temperature remains constant and the number of particles does not change during the adiabatic compression, the thermal energy of the gas remains constant.
The molar specific heat at constant volume of a monatomic gas is 3/2 R, where R is the gas constant. Since no work is done during the adiabatic compression, all the work done on the gas is converted into an increase in internal energy. Thus, the temperature of the gas increases by a factor of 2, and the molar specific heat at constant volume increases by a factor of 5/3.
To know more about the monatomic gas, here
brainly.com/question/29746488
#SPJ4
A flea (of mass 6 × 10-7 kg) jumps by exerting a force of 1. 2 × 10-5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 0. 515 × 10-6 N on the flea. F1 = 1. 2 × 10^-5 N
f2 = 0. 515 × 10^-6 N Find the direction of the acceleration of the flea in degrees relative to the vertical
The direction of acceleration of the flea is 0.0376 degrees relative to the vertical.
Step by step explanationThe net force on the flea can be found by vector addition of the forces F1 and F2:
Fnet = F1 + F2
The forces F1 and F2 are given as:
F1 = 1.2 × 10^-5 N (straight down)
F2 = 0.515 × 10^-6 N (parallel to the ground)
We can resolve F1 into its horizontal and vertical components. The vertical component of F1 is equal and opposite to the weight of the flea, which is given by:
W = mg
= (6 × 10^-7 kg) × (9.8 m/s^2)
= 5.88 × 10^-6 N
Therefore, the vertical component of F1 is -5.88 × 10^-6 N (upwards), and the horizontal component of F1 is zero.
The forces F2 and the vertical component of F1 are both parallel to the ground, so their vector sum is simply the sum of their magnitudes:
Fnet = F1v + F2
= (-5.88 × 10^-6 N) + (0.515 × 10^-6 N)
= -5.365 × 10^-6 N
The negative sign indicates that the net force is upwards, opposite to the direction of the flea's motion.
Now, we can use Newton's second law of motion to find the acceleration:
Fnet = ma
Rearranging this equation, we get:
a = Fnet/m
Substituting the values of Fnet and m, we get:
a = (-5.365 × 10^-6 N) / (6 × 10^-7 kg)
= -8.942 m/s^2
The negative sign indicates that the acceleration is upwards, opposite to the direction of the flea's motion.
Finally, we can find the direction of the acceleration relative to the vertical using trigonometry. The vertical component of the acceleration is given by:
aV = -a sin θ
where θ is the angle between the direction of acceleration and the vertical. Rearranging this equation, we get:
sin θ = -aV / a
Substituting the values of aV and a, we get:
sin θ = (-5.88 × 10^-6 N) / (-8.942 m/s^2)
= 0.000656
Taking the inverse sine, we get:
θ = 0.0376 degrees
Therefore, the direction of acceleration of the flea is 0.0376 degrees relative to the vertical.
Learn more about acceleration here https://brainly.com/question/26408808
#SPJ1
Please help I will give brainliest
Answer:
More massive objects experience a greater force of gravity (known as “weight”), but their larger mass also results in more inertia (resis- tance to change in motion)
what is 48 farenheit in celcius?
48 Fahrenheit in Celsius is 8.89 degree Celsius. Fahrenheit and Celsius are related in that they are both units of temperature measurement.
The calculation to convert from Fahrenheit to Celsius is as follows:
[tex]C = (F - 32) * 5/9[/tex]
Therefore, for 48 Fahrenheit, the Celsius calculation would be:
[tex]Celsius = (48 - 32) * 5/9[/tex]
[tex]Celsius = 16 * 5/9[/tex]
Celsius = 8.89
Rounded up, this would be 8.9 degrees Celsius.
The calculation to convert from Fahrenheit to Celsius takes the Fahrenheit temperature, subtracts 32 from it, and then multiplies the result by 5/9. This conversion formula takes into account the difference between the two temperature scales, with Fahrenheit being the higher temperature scale and Celsius being the lower temperature scale.
To learn more about temperature click here https://brainly.com/question/12869377
#SPJ4
if a magnet is freely suspended, why does its north pole rotate to a certain alignment?
A freely suspended magnet will rotate and eventually come to rest in a particular orientation because of the Earth's magnetic field. The Earth acts like a giant magnet with its magnetic field lines running from its magnetic north pole to its magnetic south pole.
A magnetic field is a physical field that is created by moving electric charges or by magnetic materials. The magnetic field is a vector field, which means that it has both magnitude and direction. The magnitude of the magnetic field at a given point in space is proportional to the strength of the magnetic force that a moving charged particle would experience at that point.
The magnetic field is typically represented by lines of force, which are imaginary lines that indicate the direction and strength of the magnetic field. The lines of force form closed loops around a magnetic material or a current-carrying conductor.
Magnetic fields have many important applications in physics, including in the study of electromagnetism, quantum mechanics, and astrophysics. They are used in many devices such as motors, generators, and MRI machines. Understanding magnetic fields are crucial to understanding the behavior of charged particles in a wide range of physical systems.
To learn more about Magnetic field visit here:
brainly.com/question/14848188
#SPJ4
the center of mass of a human body is located at a point that? a) lies always at the geometrical centre. b) lies always inside the body. c) lies always outside the body. d) may lie within or outside the body.
The center of mass of a human body may lie within or outside the body. Therefore, the correct option is (d) may lie within or outside the body.
The center of mass of a human body is located at a point that may lie within or outside the body.
The center of mass is the point where the mass of a system is concentrated, and it depends on the distribution of mass within the system. In a human body, the distribution of mass varies depending on factors such as body composition, posture, and movement.
For example, the center of mass of a person standing upright with their arms at their sides will be located within the body, whereas the center of mass of a person performing a backflip will temporarily move outside the body during the maneuver.
for such more question on mass
https://brainly.com/question/19385703
#SPJ4
instantaneous velocity can be positive, negative, or zero. True or False
Answer:
Explanation:
YES
What did Pathfinder find in Ares Valles?
Mars Pathfinder science discoveries comprise rounded pebbles and cobbles at the landing site, and other compliances indicated conglomerates that formed in running water during a warmer past in which liquid water was regular.
Ares Vallis is a gigantic valley that seems to have been deteriorated by ancient flows of water. Ares Vallis associates the mountainous Margaritifer Terra with the Chryse Planitia delta. The Valley departs through the ancient Xanthe Terra highlands. Ares Vallis was the chosen site for the 1996 Mars Pathfinder mission. Both the Pathfinder lander and rover have stereo imaging approaches. The rover also holds up an alpha proton x-ray spectrometer to investigate the composition of rocks.
To learn more about Pathfinder visit here:
https://brainly.com/question/27976635
#SPJ4
One mole of an ideal diatomic gas goes from a to c along the diagonal path in Fig. The scale of the vertical axis is set by pab=5. 0 kPa and pc=2. 0 kPa, and the scale of the horizontal axis is set by Vbc=4. 0 m3 and Va=2. 0 m3. During the transition,What is the change in internal energy of the gas
In internal energy of the gas −5.0×10 3J if scale of the vertical axis is set by pab=5. 0 kPa and pc=2. 0 kPa. set by Vbc=4. 0 m3 and Va=2. 0 m3.
What is a energy in science?Energy is defined as the “ability to do work, which is the ability to exert a force causing displacement of an object.” Despite this confusing definition, its meaning is very simple: energy is just the force that causes things to move. Energy is divided into two types: potential and kinetic.
What is energy in Example?Energy exists in many different forms. Examples of these are: light energy, heat energy, mechanical energy, gravitational energy, electrical energy, sound energy, chemical energy, nuclear or atomic energy and so on.
To know more about energy visit
https://brainly.com/question/1932868
#SPJ1
What is 64 °F in °C?
64°F is equivalent to 17.78°C.
A temperature unit developed from the SI (International System of Units) is Celsius (symbol: °C).
Prior to the adoption of the metric system, Fahrenheit (symbol: °F) was a commonly used measurement of temperature.
To convert Fahrenheit (°F) to Celsius (°C) we have to first subtract 32 from Fahrenheit and then multiply it by .5556 or 5/9.
We have to convert 64 degrees Fahrenheit (°F) to Celsius (°C),
We can use the following formula:
°C = (°F - 32) x 5/9
As per the given information,
°F = 64
By placing the value 99.3 for °F, we get:
°C = (64 - 32) x 5/9
°C= 32 x 5/9
°C = 160/9
°C = 17.78 (rounded to two decimal places)
Therefore, 64°F is equivalent to 17.78°C.
For more question on Temperature conversion
https://brainly.com/question/23419049
#SPJ4
Question :- What is 64°F in °C?
What is the conversion of 17c to f ?
The conversion of 17 degrees The conversion of 17 degrees Celsius to Fahrenheit is 62.6 degrees Fahrenheit.
The equation F = 9/5C + 32 relates temperature measured in degrees Celsius (C) to degrees Fahrenheit (F). The formula is used to convert temperatures from Celsius to Fahrenheit , and vice versa. To use the formula, you simply plug in the known temperature in Celsius (or Fahrenheit), and then solve for the unknown temperature in Fahrenheit (or Celsius).
To convert Celsius to Fahrenheit, you would use the formula F = 9/5C + 32, where C is the temperature in Celsius and F is the temperature in Fahrenheit. Thus, for 17 degrees Celsius, the formula would be F = 9/5(17) + 32 = 62.6 F.
To know more about celsius please refer:
https://brainly.com/question/14767047
#SPJ4
a test charge is placed near two other charges. how does the total force on the first charge relate to the individual forces from the two other charges?
Answer:
Explanation:
Total force is the vector sum of the individual forces.
"All three 50-kg blocks are at rest. the tension in rope 2 is
a. greater than the tension in rope 1
b. equal to the tension in rope 1
c. less than the tension in rope 1"
Since all three 50-kg blocks are at rest, the tension in rope 2 is equal to the tension in rope 1, option B.
What happens to objects while at rest?Objects at rest tend to remain at rest unless acted upon by an external force. This is a fundamental principle of Newton's first law of motion, also known as the law of inertia.
"Equal to the tension in rope 1" means that the tension in rope 2 is the same as the tension in rope 1. The forces applied to the two ropes are balanced, resulting in no net force being applied to the blocks they are attached to.
Learn more on tension here: https://brainly.com/question/24994188
#SPJ1
The complete question is:
"All three 50-kg blocks are at rest. the tension in rope 2 is
a. greater than the tension in rope 1
b. equal to the tension in rope 1
c. less than the tension in rope 1"
Increasing which variable would decreas the pressure of a contained gas?
A.Temperature
B.Number of particles
C.Boiling point
D.Volume
Increasing the volume would decrease the pressure of a contained gas.
Option (D) will be correct.
According to the ideal gas law, the pressure (P) of a contained gas is directly proportional to the number of particles (n) and the temperature (T), and inversely proportional to the volume (V).
The ideal gas law is a fundamental equation of state in thermodynamics that describes the behavior of an ideal gas. It relates the pressure (P), volume (V), number of moles (n), and temperature (T) of a gas through the equation: PV = nRT where R is the gas constant, a universal constant that depends on the units used for P, V, n, and T.
The ideal gas law assumes that the gas is composed of a large number of tiny particles in constant random motion, that there are no intermolecular forces between the particles, and that the particles occupy no volume. This implies that the particles are considered as point masses, and that their collisions with each other and with the walls of the container are perfectly elastic.
Hence, the correct option is D.
To know more about Volume here
https://brainly.com/question/6204273
#SPJ4
1. What do scientists use to study the patterns and impacts of climate change over time? (* 1 point)
A: chemical isotopes in foraminifera shells and fossilized pollen
B: all options listed
C: tree rings and ice formed thousands of years ago
D: fossilized pollen and tree rings
you should observe that 0.2 v elicits 0 g of force. why hasn’t a force been generated?
The force has not been generated because Option A: The threshold minimum has not been reached.
Threshold stimulus is the energy or force that is capable of giving rise to an action potential. It ranges between -50 mV to -55V. Thus, when 0.2V elicits 0g of force, the force has not been generated because the threshold minimum may not be reached appropriately.
The force that rises in a neuron is a result of the action potential. Action potential is a sudden, fast, and transitory change of the resting membrane potential. Action potential can only arise in neurons and muscle cells. the property of these nerves to generate an action potential is called excitability.
To know more about action potential, refer:
https://brainly.com/question/13475249
#SPJ4
Complete question is:
You should observe that 0.2 V elicits 0 g of force. Why hasn't a force been generated?
-The threshold stimulus has not been reached
- A muscle will not respond until it is stimulated with a threshold stimulus or a stimulus greater than the threshold stimulus.
starting from rest, object 1 is subject to a 25 n force for 2.0 s . object 2, with twice the mass, is subject to a 35 n force for 3.0 s . part a which object has the greater final speed? which object has the greater final speed? object 2 object 1
Object 2 has a greater final speed of 52.5 Ns / mass or 13.125 m/s while object 1 has a final speed of only 50 Ns / mass or 6.25.
What is meant by force?In physics, an influence that causes motion of an object with mass to change its velocity is known a s force.
Solving for final speed of object 1
As, final speed = initial speed + acceleration * elapsed time.
So, final speed = 0 + (Force / mass) * elapsed time
final speed = 0 + (25 N/mass) * 2 s
So, final speed of object 1 = 50 Ns / mass
Solving for final speed of object 2
As, final speed = initial speed + acceleration * elapsed time
final speed = 0 + (35 N / 2 * mass) * 3 s
final speed = 17.5 N * 3 s / mass
So, final speed of object 2 = 52.5 Ns / mass
If object 1 has mass of 4 kg then object 2 has mass of 8 kg.
Object 2 has a greater final speed of 52.5 Ns / mass or 13.125 m/s while object 1 has a final speed of only 50 Ns / mass or 6.25.
To know more about force, refer
https://brainly.com/question/12785175
#SPJ1
Two skaters stand facing each other. One skater’s mass is 60 kg, and the other’s mass is 72 kg. If the skaters push away from each other without spinning and the 60 kg skater speed it 5.0 m/s the 72kg skaters speed will be what?
The final velocity of the 72 kg skater is -4.17 m/s. The negative sign indicates that the skater is moving in the opposite direction to the 60 kg skater, as expected.
m1 * v1_final + m2 * v2_final = 0
60 kg * 5.0 m/s + 72 kg * v2_final = 0
Solving for v2_final, we get:
v2_final = -(60 kg * 5.0 m/s) / 72 kg = -4.17 m/s
Mass is a fundamental concept in physics that refers to the amount of matter in an object. It is a scalar quantity that has a magnitude but no direction. Mass is typically measured in units of kilograms (kg) in the International System of Units (SI).
Mass is a property of an object that resists any change in its motion, whether it is at rest or in motion. This is described by Newton's Second Law of Motion, which states that the force applied to an object is proportional to its mass and its acceleration. This relationship is often expressed as F=ma, where F is the force applied, m is the mass of the object, and a is its acceleration.
Mass is also related to energy through the famous equation E=mc², where E is the energy of an object, m is its mass, and c is the speed of light in a vacuum.
To learn more about Mass visit here:
brainly.com/question/15959704
#SPJ4
_____ was an important eighteenth-century English geologist and proponent of uniformitarianism.
A) Isaac Newton B) James Hutton C) James Ussher D) Charles Lyell
James Hutton was an important eighteenth-century English geologist and proponent of uniformitarianism. So option B is correct.
Uniformitarianism is the idea that the processes that have shaped the Earth in the past continue to operate in the same way in the present.
To put it another way, the Earth will continue to be progressively shaped by geological processes like erosion, deposition, and volcanic activity for a very long time to come.
This is as opposed to catastrophism, the possibility that the Earth was formed by unexpected, devastating occasions like floods or quakes, which was the predominant hypothesis at that point.
To learn more about Uniformitarianism:
https://brainly.com/question/12724361
#SPJ4
How much force does an 80 kg astronaut exert on his chair while sitting at rest on the launch pad?
The astronaut exerts a force of approximately 784.8 Newtons on his chair while sitting at rest on the launch pad.
The force that an 80 kg astronaut exerts on his chair while sitting at rest on the launch pad is equal to his weight. This is because, in the absence of any other external forces, the only force acting on the astronaut-chair system is the force of gravity. which is given by:
force = mass x gravity
where the mass is 80 kg and the acceleration due to gravity is approximately 9.81 m/s^2.
Therefore, the force exerted by the astronaut on his chair is:
force = 80 kg x 9.81 m/s^2 = 784.8 N
To know more about the force, here
brainly.com/question/13191643
#SPJ4
what is derivative of ln kx
The derivative of ln(kx) with respect to x is 1/x.
To find the derivative, we must be aware of the chain rule and product rule.
f(x) = g(h(x) (x) The chain rule can be utilised to implement functions.
G and h are two separate functions.
F(x) = g(h(x)) G(h(x)) = H'(x) = d/dx (x)
The product rule is the second rule. To determine whether a function is the sum of two other functions, we can utilise the product rule.
The chain rule must be applied to the query first.
D/dx = ln(kx)=1 (kx) D/DX (kx) (kx)
Now, by applying the product rule, it is possible to find the derivative of kx: The equation is: d/dx (x) + x (d/dx x) + x 0 = k
So the derivative of ln(kx) with respect to x is 1/x.
Learn more about derivative:
https://brainly.com/question/30365299
#SPJ4
A low-pressure mercury-vapor lamp has a characteristic emission line at 253 nm. Knowing that in one second this lamp is putting out 11. 8 joules of light energy, how many mercury atoms emit a photon during this one second of operation?
[tex]1.50 \times 10^{22}[/tex] mercury atoms emit a photon during this one second of operation
The steps shown below can be used to resolve this issue:
Find the energy of a photon of light with a 253 nm wavelength. The formula is as follows:
E = hc/λ
where E denotes the photon's energy, h denotes Planck's constant (6.626 x [tex]10^{-34}[/tex] J s), c denotes the speed of light (2.998 x [tex]10^8[/tex]m/s), and denotes the photon's wavelength in metres.
Inputting the values provided yields:
E = (6.626 x [tex]10^{-34}[/tex] J s) x (2.998 x [tex]10^8[/tex]m/s) / ([tex]253 \times 10^{-9}[/tex] m)
E = 7.87 x [tex]10^{-19}[/tex] J
Hence, a photon of light with a wavelength of 253 nm has an energy of 7.87 x[tex]10^{-19}[/tex] J.
Count the number of photons the light emits in a second. The formula is as follows:
number of photons = energy of light / energy of one photon
Substituting the given values, we get:
number of photons = 11.8 J / [tex]7.87 \times 10^{-19}[/tex] J
number of photons = [tex]1.50 \times 10^{22}[/tex] photons
Therefore, the lamp emits [tex]1.50 \times 10^{22}[/tex] photons in one second.
Find the quantity of mercury atoms that release a photon every second. The number of mercury atoms is equal to the number of photons released by the lamp since each photon represents the emission of one mercury atom:
number of mercury atoms = number of photons
number of mercury atoms = [tex]1.50 \times 10^{22}[/tex] atoms
As a result, during one second of operation, the low-pressure mercury-vapor lamp emits [tex]1.50 \times 10^{22}[/tex] mercury atoms.
For similar questions on number of atoms emits,
https://brainly.com/question/3562604
#SPJ4
one blade of a pair of scissors rotates counterclockwise in the xy plane. (a) what is the direction of vs for the blade? (b) what is the direction of as if the magnitude of the angular velocity is decreasing in time?
The direction of Vs for the blade is: out of the xy plane
The magnitude of as is: out of the xy plane
What is the direction of the vs for bladeThe direction of the vs (velocity vector) for the blade is tangent to the circular path it traces as it rotates counterclockwise in the xy plane. Using the right-hand rule, we can determine that the direction of the vs vector is perpendicular to both the radial vector pointing towards the center of rotation and the tangent vector pointing in the direction of motion. Therefore, the vs vector points out of the plane of the paper, either towards or away from the viewer depending on the orientation of the blade.
(b) If the magnitude of the angular velocity is decreasing in time, then the blade is experiencing angular deceleration, which means that its angular acceleration vector (α) is directed opposite to its angular velocity vector (ω). Using the right-hand rule again, we can determine that the direction of the α vector is perpendicular to both the radial vector and the tangent vector, but in the opposite direction of the vs vector. Therefore, the α vector points into the plane of the paper, either towards or away from the viewer depending on the orientation of the blade.
Read more on magnitude and direction here:https://brainly.com/question/29058457
#SPJ1
A 2500 kg car with a speed of 15 m/s collides with a stationary car with a mass of 900 kg. On impact they hook together and move away. Their new mass is 3400 kg and new velocity is 0.05 m/s. What type of collision is being explained in the question?
This is an example of an inelastic collision. In an inelastic collision, some of the initial kinetic energy is lost, and the objects move away from each other with a reduced speed, as is the case here.
What is collision?Collision is the physical contact between objects, causing them to interact and exchange energy. This can occur when two or more objects come into contact with each other while moving at different speeds. Collisions can be elastic or inelastic, depending on the type and amount of energy lost in the interaction. Elastic collisions are those in which the total kinetic energy of the objects is the same before and after the collision, while in inelastic collisions some energy is lost in the form of heat, sound, or other forms of energy.
To learn more about collision
https://brainly.com/question/4403635
#SPJ1