a. Calculate the relativistic momentum of an electron with a mass of 9.11 x 10-31 kg when moving with a speed of i. 0.01 c ii. iii. 0.500 c 0.900 c b. Compare the values calculated in part a (i-iii) with the momentum calculated from the classical expression. Comment on the difference between the two as the speed of electron is increased towards the speed of light. c. Use the work-kinetic energy theorem to find the work required to increase the speed of the electron from 0.500 c to 0.900 c.

a. Calculate the relativistic momentum of an electron with a mass of 9.11 x 10-31 kg when moving with a speed of i. 0.01 c ii. iii. 0.500 c 0.900 c b. Compare the values calculated in part a (i-iii) with the momentum calculated from the classical expression. Comment on the difference between the two as the speed of electron is increased towards the speed of light. c. Use the work-kinetic energy theorem to find the work required to increase the speed of the electron from 0.500 c to 0.900 c.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: An electron has a speed of 0.75c. Calculate the relativistic kinetic energy and the non-relativistic…

Q: 1. Which pair of events oc- cur at the same time in the rocket frame (primed coordinates)? All axes…

A: Note: You have posted multiple questions, As per our policy, first question will be answered if…

Q: An electron travels at 0.479c. Calculate the electron's Einsteinian momentum p. kg-m/s Calculate the…

A: The given electron is travelling at a speed of 0.479c, where c is the speed of light. Let v=0.479c…

Q: Suppose that you are part of an astronomy team observing a group of micrometeors ( 5.00 x 10-2 kg…

A: Given that mass of each micrometeors and distance and also given the time.Then We have to determine…

Q: light. But in 1905, Albert Einstein postulated that the mass of any material can be measured in…

Q: A rocket leaves a planet and travels at a constant speed of 0.5 c to a destination. An observer on…

A: Given, speed v = 0.5 c Observer time T = 15 h From Time Dilation, the relationship…

Q: A spaceship leaves Earth traveling at 0.70c. A second spaceship leaves the first at a speed of 0.90c…

Q: EXAMPLE 3 In Einstein's theory of special relativity the mass of an object moving with velocity v is…

Q: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that…

Q: How much work is required to accelerate a proton from rest up to a speed of 0.85c? A. 1.11 × 10 J.…

Q: 11.Which of the following statements is not true? A.The elapsed time for a process seem to be…

Q: The kinetic energy of the particle

A: (d) Given: Rest mass of alpha particle Speed of alpha particle Here the speed of alpha particle is…

Q: Problem 3- wy. Carolina is piloting a rocket passing by Earth. Alejandro, located on Earth, observes…

Q: Which of the following statements are IMPOSSIBLE? Choose all that apply. The rocket's speed was…

A: The statement "The rocket's speed was measured to be 1.04c" is impossible, as the speed of an object…

Q: Two particles are created in a high-energy accelerator and move off in opposite directions. The…

A: The velocity of the first particle in the laboratory framev1=0.580 c The velocity of the second…

Q: 11. A tau particle has a rest mass of 3.18×10-"kg. Suppose a tau particle is traveling at 1.25x10° m…

A: Given: rest mass=3.18×10-27kg A tau particle is travelling at 1.25 x 108 m/s Formula used: γ=11-β2…

Q: R2T.4 Suppose you are sitting at the origin of an inertial reference frame. You see (that is, you…

A: Given, The event "E" occuring near a clock at x = -30 ns. The event occurs at the time (t) = 80 ns.…

Q: Star A has a mass of 2.8 x 10 kg and is traveling in the positive direction at 0.33 c relative to…

A: Collision.

Q: If you were on a spaceship moving away from the Earth at 0.85c would you observe any change in your…

A: Solution: Given data, a spaceship moving away from the Earth at 0.85c

Q: Which statements are impossible and which statements are true? 1.The rocket's speed was measured to…

A: "Since you have asked multiple questions, as per instructions to us, we will solve the first…

Q: Problem A A woman on a rocket traveling at 0.68c (with respect to Earth) observes a meteor come from…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If you are sitting in your living room and exactly 1 hour has passed according to the clock on your…

A: Here I am a stationary observer of a spaceship. The clock in my room is at rest with respect to me.…

Q: What happens when observations include velocities close to light speed? To move an object, Newton's…

A: Answer:- (a) To move an object, Newton's second law of motion applies: F = ma. Because Newton's…

Q: An astronaut flying at 0.65c takes a 3-h sleep period. How long does mission controlthink that the…

A: Given values:Time for sleep in the astronaut's frame:to = 3 h Velocity of spacecraft:v = 0.65c…

Q: An electron is accelerated to a speed where its total energy is 152 times larger than its rest…

A: Toal energy is 152 times larger than rest energy

Q: A neutron (mass = 1.67 x 10^-27 kg) has a kinetic energy of 2000 MeV a) Calculate the rest energy of…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Find the relativistic mass of the rocket when its moving.

Q: You are flying at 0.99c with respect to Kara. At the exact instant you pass Kara, she fires a very…

A: a) Kara observes the speed of you relative to the light as v = ( 1 - 0.99) chence the distance is…

Q: 4. An electron, with a rest mass of 9.11 × 10-31 kg, has a relativistic momentum of 2.338 × 10-22 kg…

A: Step 1:

Q: A proton moves at .25c. What is it's momentum? Choose the best answer. Question 16 options:…

A: "A proton is a subatomic particle that is found in the nucleus of an atom. It is one of the three…

Q: A cubical box is 0.85 m on a side. Part A What are the dimensions of the box as measured by an…

A: Side of cubical box is Speed of observer The observer moves parallel to one of the edges of…

Q: 2. The work-energy theorem relates the change in kinetic energy of a particle to the work done on it…

Q: What is the total energy of an electron moving with a speed of 0.950 c? a. 2.6 × 10-13 J b. 1.1 ×…

A: Given, Speed of electron is, v=0.95c and rest mass of an electron is mo=9.1×10-31kg Then the total…

Q: A car roles off the assembly line with a mass of 2000kg. A very special rocket booster, with mass…

Q: A tau particle has a rest mass of 3.18x10kg. Suppose a tau particle is traveling et 1.25x10 " in the…

A: Given : m=3.18x10-28 kg v=1.25x108 m/s

Q: Suppose a space vehicle with a rest mass of 150 000 kg travels past the International Space Station…

Q: An electron is emitted in beta decay of radioactive caesium It has mass 9.109X10^-31. and is…

A: Mass of electron m=9.109*10-31kg, velocity of the electron after emission from beta source v=0.75c…

Q: average lifetime of 2.60*10^-8s. In a high-energy particle accelerator, these particles reach a very…

Q: A particle is moving at a speed of 0.925c and travels from one end of a 50 m long Physics lab to the…

Q: The work-energy theorem relates the change in kinetic energy of a particle to the work done on it by…

A: Work energy theorem is the net work of the body equal to the change in kinetic energy. The sum of…

Q: Newly sprouted sunflowers can grow at the rate of 0.30 in. per day. One such sunflower is left on…

A: When an inertial frame of reference is moving with constant speed relative to other inertial frame…

Q: A relativistic particle of mass m at æ(t) in a potential V has kinetic energy ymc?, where y = (1 –…

Q: A spaceship leaves Earth traveling at 0.60 c. A second spaceship leaves the first at a speed of 0.90…

A: Spaceship leaves earth at speed, v=0.60 cSecond spaceship moving relative to first, u'=0.90cSpeed of…

Q: Twenty-two-year-old Jane travels away in a spaceship and returns to Earth. Throughout her entire…

A: Special theory of relativity relates space and time. When an object moves with speeds comparable to…

Concept explainers

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.

Question

a. Calculate the relativistic momentum of an electron with a mass of 9.11 × 10-31 kg when
moving with a speed of
i.
0.01 c
ii.
0.500 c
iii.
0.900 c
b. Compare the values calculated in part a (i-iii) with the momentum calculated from the
classical expression. Comment on the difference between the two as the speed of electron is
increased towards the speed of light.
C.
Use the work-kinetic energy theorem to find the work required to increase the speed of the
electron from 0.500 c to 0.900 c.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: a)Given :

VIEW

Step 2: Expression for relativistic momentum

VIEW

Step 3: for v = 0.01c, we are going to find the relativistic momentum

VIEW

Step 4: for v = 0.500c

VIEW

Step 5: v = 0.9c

VIEW

Step 6: b) momentum calculated from classical expression

VIEW

Step 7: c)Work energy therom

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 8 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An electron moves in a detector with a relativistic energy of 24 MeV. The electron takes 203.6 s to pass through the detector (measured in the detector frame of reference). In which frame of reference do we measure the proper time? A) The electron frame of reference B) None of these answers C) The detector's repository D) Always in the teacher's repository
3. Please answer these questions well explained. Scientists observe an electron travelling at 0.98 c. A. Calculates the total energy of the electron, in MeV, as measured by the scientists. B. Determines the kinetic energy of the electron, in MeV, as measured by the Scientists.
Why do we not observe relativistic effects in our daily lives? O Because motion is relative. O Because you can't go back in time. Because the math is too hard. O We do observe relativistic effects in our daily lives. This is why time sometimes appears to pass more quickly than usual. O Because relativity only effects particles such as electrons & protons. O Because the speeds we move at are much less than the speed of light.
A spaceship, moving away from the Earth at a speed of 0.9c, shines a green laser at Earth. An observer on Earth would see the light arriving at a speed of: O A. 0.1c but at a smaller frequency. OB. 0.1c but higher frequency OC. c but at a shorter wavelength. O D. c but longer wavelength. O E. 0.1c and with an inverted frequency
Calculate the speed at which the total energy equal to twice the kinetic energy of a particle. O A. 0.60c OB. 0.80c O c.0.67c O D. 0.77c E. 0.87c
You are standing still on a spacecraft that is traveling toward the Sun and 0.25c. 1- How fast are you moving relative to a person that is on Earth observing your spacecraft's motion? 2- You get out your radar gun and point it at the Sun. What speed do you measure for sunlight, given that your spacecraft is traveling toward the Sun at 0.25 c? 3- At what speed, relative to c, do relativistic effects become significant?
Suppose a space vehicle with a rest mass of 150 000 kg travels past the International Space Station at a constant speed of 2.6 x 108 m/s with respect to the I.S.S. When an observer on the I.S.S. measures the moving vehicle, her measurement of the space vehicle length is 25.0 m. a) Determine the relativistic mass of the space vehicle. b) Determine the length of the space vehicle as measured by an astronaut on the space vehicle.
Please explain the steps to find the answer, which equation you are using and why you are using it. Thanks.
In the earth's rest frame, two protons are moving away from each other at equal speed. In the frame of each proton, the other proton has a speed of 0.650c. Part A What does an observer in the rest frame of the earth measure for the speed of each proton? Express your answer as a multiple of the speed of light. V7 ΑΣΦ U = Submit Request Answer ?
2. Please help me answer these questions, well explained. A spacecraft travelling at a speed of 0.95 c goes from the planet Jupiter to the planet Pluto. A. If an observer on planet Jupiter measures the length of the vessel as 55 m, how long is it when it is stationary? B. A monkey inside the ship has a pulse of 116 beats/min when he is on the earth. What is his pulse inside the ship?
2. Suppose a spacecraft is moving in free space with a constant velocity of magnitude 0.25 c relative to an observer. An astronaut onboard the spacecraft sends out two light beams, What is the velocity back toward the observer? Choices: A. -c B. +c C. 0.25 c D. -0.25 c
Part A The distance to a particular star, as measured in he earth's trame of reference, is 734 ly (1 light year is the distance light travels in 1 y). A spaceship leaves earth headed for the star, and takes 3.66 y to arrive, as measured by passengers on the ship How long does the trip take, according to observers on oarth? Express your answer in years. y Submit Request Answer Part B What distance for the trip do passengers on the spacecraft measure? (Hint What is the speed of light in units of ly/y) Express your answer in light years. ly Submit Beavest Anewer