Answered: QUESTION 2 a) Determine the velocity of…

QUESTION 2 a) Determine the velocity of an electron if its kinetic energy is equal: i. To the two-third of its rest-mass energy. ii. To the two-third of its total energy.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

Problem 71P: (a) Beta decay is nuclear decay in which an electron is emitted. If the electron is given 0.750 MeV...

See similar textbooks

Related questions

Q: A particle with rest mass m travels with speed 0.75c. (a) Calculate the relativistic momentum of…

Q: 1. A certain particle has a lifetime of 1.00 × 10-7 s when measured at rest. How far does it go…

A: Ans:- Image-1

Q: 2. particle has a momentum of 400 MeV/c and kinetic energy of 100 MeV. Determine its mass in MeV/c2,…

Q: Does the equation E= mc2 conflict with the conservationof energy principle? Explain.

A: Conservation of energy principle states that energy neither be created nor destroyed (by us),…

Q: Q2:- The average lifetime of a a meson in its own frame of reference is 24 .0 ns. If the z meson…

Q: 37.2 • The positive muon (u), an unstable particle, lives on average 2.20 x 10-6 s (measured in its…

Q: 2- Find the kinetic energy of a 78.0-kg spacecraft launched out of the solar system with speed 106…

Q: The maximum relativistic kinetic energy of B particles from a radioactive nucleus is equal to the…

Q: In a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We…

A: Given,

Q: The mass of the fuel in a nuclear reactor decreases by an observable amount as it puts out energy.…

A: Introduction: A nuclear power plant uses the process of nuclear fission to generate electricity.

Q: A spaceship and its occupants have a total mass of160,000 kg. The occupants would like to travel to…

A: (a) The kinetic energy of the spaceship is obtained by the equation, E=γ-1mc2 =Δmc2 Here,…

Q: How fast would a meterstick be moving so that its length will be observed to shrink to half its…

Q: A proton and anti-proton with rest energy 8f, 3.0 108 What is the relative speed of positron and…

A: Given: E0=931 MEVC2V=0.995×cc=3×108 ms

Q: In the theory of relativity, the mass of a particle with speed v is where m, is the rest mass of the…

A: Answer :- The inverse function of f is V tends to c- limit mo / [ 1- (V2/ c2]1/2 = infinity Since…

Q: A new particle, the joelon, has just been discovered! Careful measurements show that the joelon has…

Q: Determine the velocity of an electron if its kinetic energy is equal: i. To the two-third of its…

A: Let the mass of electron = m Let the velocity of electron = v Let the kinetic energy of electron =…

Q: An interstellar space probe is launched from Earth. After a brief period of acceleration, it moves…

A: The expression of time for the given case where the batteries on the space probe last as measured by…

Q: 2. (i) An electron with rest energy 0.511 MeV travels with speed u = 0.7c. Find (a) its total energy…

A: Given values: Rest energy of electron, E0=0.511 MeV Speed of electron, u=0.7 c

Q: Consider the inelastic collision. Two lumps of matter are moving directly toward each other. Each…

Q: 4- Consider electrons accelerated to energy of 20.0 GeV in the 3.00-km-long Stanford Linear…

A: According to question we need to find--- (a) What is the y factor for the electrons? (b) What is…

Q: A new particle, the aarnion, has just been discovered! Careful measurements show that the aarnion…

Q: What is the kinetic energy in MeV of a of a π-meson that lives 1.40 × 10−16 s as measured in the…

Q: We know that the velocity of an object with mass has an upper limit of c . Is there an upper limit…

Q: Two electrons are travelling in the same elections with total energies of 1.0 MeV and 2.0 MeV as…

Q: 2. (i) An electron with rest energy 0.511 MeV travels with speed u = 0.7c. Find (a) its total energy…

A: Given, Rest energy of electron,E0=0.511 MeV Speed of electron, u=0.7c

Q: At what speed is an electron’s total energy 50% more than its rest energy?

A: GIVEN :- Total energy is 50% more than its rest energy. i.e Total energy =…

Q: 4. The p meson, an unstable elementary particle, has a rest energy of 765 MeV and a half-life of…

Q: An electron is limited to travel at speeds less than c. Doesthis put an upper limit on the momentum…

A: An electron is considered as a lightest and also a stable particle(atomic) An electron has maas M =…

Q: An experimenter has studied the decay of a K° particle in which it emits a 7° at 0.8c. One such K°…

A: 0we will use the relativistic addition formula

Q: 4. In a colliding beam apparatus, two beams of protons are aimed at each other. The first proton…

A: Given Speed of first proton v1 = 0.7c Speed of second proton v2 = 0.9c

Q: Since there is an upper limit on the speed of a particle, does it follow that there is also an upper…

A: Kinetic energy and momentum of the panicle is depending on the mass of the particle. Mass has no…

Q: A -0.02C object is placed into a 20V potential. How much energy does it have? -0.8 J O 0.6 J 0.4 J O…

A: Given Charge of an object is Q=-0.02 C Potential is V=20 V Find the amount of energy

Q: Two spacecraft A and B are moving in opposite directions as shown. An observer on the Earth measures…

Q: Suppose the spaceship as shown is approaching the Earth at half the speed of light and shoots a…

A: a) The required velocity is,

Q: Suppose the spaceship is approaching the Earth at half the speed of light and shoots a canister at a…

A: (a) Find the velocity of the observer to see canister will bound the Earth system.…

Q: How fast must an electron move so that its total energy is 10% more than its rest mass energy?

A: Scenario: An electron is moving with some speed.

Q: How fast must a pion be moving on average to travel 26 m before it decays? The average lifetime, at…

A: Time dilation: In the special theory of relativity, the time dilation is slowing down of the clock…

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

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

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

The mass of the fuel in a nuclear reactor decreases by an observable amount as it puts out energy. Is the same true for the coal and oxygen combined in a conventional power plant? If so, is this observable in practice for the coal and oxygen? Explain.
We know that the velocity of an object with mass has an upper limit of c. Is there an upper limit on its momentum? Its energy? Explain.
How fast would a muon have to be traveling relative to an observer for its lifetime as measured by this observer to be 10 times longer than its lifetime when at rest relative to the observer?
Suppose a Wcreated in a particle detector lives for 5.001025s . What distance does it move in this time if it is traveling at 0.900c? (Note that the time is longer than the given Wlifetime, which can be due to the statistical nature of decay or time dilation.)
A pulsar is a stellar object that emits light in short bursts. Suppose a pulsar with a speed of 0.950c approaches Earth, and a rocket with a speed of 0.995c heads toward the pulsar. (Both speeds are measured in Earth's frame of reference.) If the pulsar emits 10.0 pulses per second in its own frame of reference, at what rate are the pulses emitted in the rockets frame of reference?
If relativistic effects are to be less than 3%, then must be less than 1.03. At what relative velocity is =1.03 ?
(a) Beta decay is nuclear decay in which an electron is emitted. If the electron is given 0.750 MeV of kinetic energy, what is its velocity? (b) Comment on how the high velocity is consistent with the kinetic energy as it compares to the rest mass energy of the electron.
Imagine an astronaut on a trip to Sirius, which lies 8 light-years from Earth. Upon arrival at Sirius, the astronaut finds that the trip lasted 6 years. If the trip was made at a constant speed of 0.8c, how can the 8-light-year distance be reconciled with the 6-year duration?
To does an object seem greater in length, an observer moving with the object or an observer moving relative to the object? Which observer measures the objects proper length?
One cosmic ray neutron has a velocity of 0.250c relative to the Earth. (a) What is the neutron's total energy in MeV? (b) Find its momentum. (c) Is Epc in this situation? Discuss in terms of the equation given in part (a) of the previous problem.
Take the ratio of relativistic rest energy, E=mc2, to relativistic momentum, p=mu, and show that in the limit that mass approaches zero, you find E/p=c.
A spaceship moves past Earth with a speed of 0.900c. As it is passing, a person on Earth measures the spaceship's length to be 75.0 m. (a) Determine the spaceships proper length. (b) Determine the time required for the spaceship to pass a point on Earth as measured by a person on Earth and (c) by an astronaut onboard the spaceship.