Answered: In relativistic motion, a body…

In relativistic motion, a body quadruples its momenta, after its speed is doubled to the initial one. Calculate the initial speed in unit of c.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Relativity

Section: Chapter Questions

Problem 22P

See similar textbooks

Related questions

Q: (a) Calculate y for a proton that has a momentum of 1.47 kg. m/s. x (b) What is its speed (in m/s)?…

Q: Consider a proton that has a momentum of 1.00 kg·m/s. Part (a) Calculate the relativistic…

A: Given: In this question, the given values are, The given value of the speed of light is,…

Q: - For the following frame determine x2 at time t=0.35 sec. (k is the total stifee cory). W=120k…

A: Time=0.35sec

Q: A starship passes Earth with speed of v1 and sends a drone forward with speed v2 relative to itself…

A: The speed of the drone relative to planet E vDE is calculated under relativistic case by using the…

Q: A moving hydrogen atom (rest mass =939 MeV/c2, where c is the speed of light in vacuum) has a…

Q: Recall, from this chapter, that the factor gamma (γ) governs both time dilation and length…

Q: A particle with mass m has speed 0.649c relative to inertial frame S. The particle collides with an…

A: The mass of particle-1 is given as, m1=m, The mass of particle-2 is given as, m2=m, The initial…

Q: An observer in reference frame S claims that two events occur simultaneously. As this observer sees…

A: Given data- An observer in reference frame S claims two events occur simultaneously- Event A point…

Q: An 12 kg object is flying at speed 1c/10. Calculate its momentum, in units of kg c.

A: The relativistic expression for momentum is given by,

Q: Starting from rest, two skaters "push off" against each other on smooth level ice, where friction is…

A: Given,The mass of the woman is The mass of the man is The woman's velocity is The speed of light is…

Q: Two relativistic particles of identical mass m move towards each other along the same axis. The…

Q: Two observers, A on earth and B in a space- ship traveling 262 Mm/s, start their timers when the…

Q: A brick of mass 1kg travels to the right at 0.8c, where c is the speed of light. It collides with…

A: Given: Mass(m1) = 1 kg Mass(m2) = 2 kg Before collision velocity of m1(v1) =…

Q: A proton is moving at velocity of 0.65c. Estimate its momentum.

A: When objects get closer to the speed of light their mechanical properties like the momentum will be…

Q: At what speed, as a fraction of c, will a moving rod have a length 60% that of an identical rod at…

Q: As I speed by in my very fast train (v = 0.757c), I jump up. In my frame, it takes me 0.71s to go up…

A: Write the formula for time dilation.

Q: A particle has a rest energy of 4.47×10−13 J and a total energy of 9.67×10−13 J. Calculate the…

Q: Suppose a satellite has a mass of 2050 kg and is orbiting at 7.4 km/s. Use the approximation that γ…

Q: If an external force is operating on a system, is it feasible for it to be relativistic at the same…

Q: wnst to you, your secret celebrity crush's agent is onboard the celebrity's rocket and saw you…

A: Answer

Q: A rocket speeds by the earth at 0.77c. The earthlings measure the moving rocket to be 158 m long.…

A: Given data The speed of the rocket is, v=0.77c The observed length of the rocket observed on the…

Q: Starting from rest, two skaters "push off" against each other on smooth level ice, where friction is…

A: Given Data: Mass of the woman (m1) = 63 kg.Mass of the man (m2) = 86 kg.Velocity of the woman (v1) =…

Q: an airport worker measures the length of a runway to be Lo. a spaceship,s, flies horizontally in a…

Q: Starting from rest, two skaters "push off" against each other on smooth level ice, where friction is…

Q: An unstable particle is at rest and suddenly breaks up into two fragments. No external forces act on…

Q: An alien spaceship has a mass ofm= 3.2×109kg, and according to the crew, onboard the bow-to-stern…

A: mass of spaceship (m) = 3.2×109 kg Length measured onboard (Lo) = 680 m Length measured by…

Q: Multiple-Concept Example 6 reveiws the principles that play a role in this problem. A nuclear power…

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for…

Q: recall from this chapter,that the factor gamma governs both time dilation and length…

Q: Chapter 37, Problem 006 Reference frame S' is to pass reference frame S at speed v along the common…

A: Solution: Given values, Time(∆ta)=14 svelocity(v)=0.99c

Q: In a linear collider, two particles travel toward each other from opposite directions before…

A: Given data : In lab frame Speed of electron u =( 2/3 )c Speed of positron v = (3/4) c Where c is…

Q: A proton moves with a speed of 0.90c. Find the speed of an electron that has: a) the same momentum…

Q: Starting from rest, two skaters "push off" against each other on smooth level ice, where friction is…

A: Write the momentum conservation equation. Pi=pfmmum+mwuw=mmvm1−vm2c2+mwvw1−vw2c2 Initially, both…

Q: In the figure, part of a long insulated wire carrying current i = 7.30 mA is bent into a circular…

A: Current, I = 7.3×10-3 ARadius, R = 0.0135 m Vacuum permeability, µ0 = 4π×10-7 H/m (a) Bx = 0By = 0Bz…

Q: A moving hydrogen atom (rest mass = 939 MeV/c², where c is the speed of light in vacuum) has a…

A: Given: Rest mass, m =939 MeV/c2 Kinetic energy, K = 313 MeV a) The total energy is the sum of…

Q: An unstable particle is at rest and suddenly breaks up into two fragments. No external forces act on…

A: Given Data: Mass of the lesser fragment (m) = 2.26×10-27 kg.Mass of the massive fragment (M) =…

Q: The star of a distant solar system explodes as a supernova. At the moment of the explosion, an…

A: Given, The distance of the spaceship from the stars =20 AU=2.992*1012 m Let after t time the shock…

Q: A spaceship leaves the solar system at v = (3/5)c and is headed towards a planet that is 20 c •…

A: Einstein gave theory of relativity that is the special theory of relativity. It has one statement…

Q: A spacecraft has a nonrelativistic (or classical) momentum whose magnitude is 1.4 x 1013 kg-m/s. The…

Q: Spaceship A moves past the earth at 0.85 c to the west. Spaceship B approaches A, moving to the…

A: Givenspeed of spaceship A = 0.85 c towards westspeed of spaceship B = 0.95 c towards east

Q: An electron is emitted in beta decay of radioactive caesium. It has mass 9.109-10-31 kg and is…

A: Given values: Mass of electron,me=9.109×10-31 kgVelocity of electron, v=0.75cVelocity of light,…

Q: Is it possible for two marbles (mass each m, speed v) to strike a line of marbles and have a single…

A: Two identical marbles are given here, both are having a mass of m and a velocity of v. It is…

Q: At what speed relative to a laboratory does a clock tick at half the rate of an identical clock at…

A: Given: Time of moving clock will be equal to the half of the identical clock Tmoving=0.5Trest

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

In relativistic motion, a body quadruples its momenta, after its speed is doubled to the initial one. Calculate the initial speed in unit of c.

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

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

Spacecraft I, containing students taking a physics exam, approaches the Earth with a speed of 0.600c (relative to the Earth), while spacecraft II, containing professors proctoring the exam, moves at 0.280c (relative to the Earth) directly toward the students. If the professors stop the exam after 50.0 min have passed on their clock, for what time interval does the exam last as measured by (a) the students and (b) an observer on the Earth?
Calculate the momentum of a proton moving with a speed of (a) 0.010c, (b) 0.50c, (c) 0.90c. (d) Convert the answers of (a)(c) to MeV/c.
According to special relativity, a particle of rest mass m0 accelerated in one dimension by a force F obeys the equation of motion dp/dt = F. Here p = m0v/(1 –v2/c2)1/2 is the relativistic momentum, which reduces to m0v for v2/c2 << 1. (a) For the case of constant F and initial conditions x(0) = 0 = v(0), find x(t) and v(t). (b) Sketch your result for v(t). (c) Suppose that F/m0 = 10 m/s2 ( ≈ g on Earth). How much time is required for the particle to reach half the speed of light and of 99% the speed of light?
A clock on a moving spacecraft runs 1 s slower per day relative to an identical clock on Earth. What is the relative speed of the spacecraft? (Hint: For v/c << 1, note that γ ≈ 1 + v2/2c2.)
Owen and Dina are at rest in frame S, which is moving at 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P9.63). Owen throws the ball to Dina at 0.800c (according to Owen), and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, (d) how fast is the ball moving, and (e) what time interval is required for the ball to reach Dina? Figure P9.63
Suppose our Sun is about to explode. In an effort to escape, we depart in a spaceship at v = 0.80c and head toward the star Tau Ceti, 12 lightyears away. When we reach the midpoint of our journey from the Earth, we see our Sun explode and, unfortunately, at the same instant we see Tau Ceti explode as well. (a) In the spaceship’s frame of reference, should we conclude that the two explosions occurred simultaneously? If not, which occurred first? (b) In a frame of reference in which the Sun and Tau Ceti are at rest, did they explode simultaneously? If not, which exploded first?
Joe and Moe are twins. In the laboratory frame at location S1 (2.00 km, 0.200 km, 0.150 km). Joe shoots a picture for aduration of t= 12.0 s. For the same duration as measured inthe laboratory frame, at location S2 (1.00 km, 0.200 km,0.300 km), Moe also shoots a picture. Both Joe and Moe begintaking their pictures at t = 0 in the laboratory frame. Determine the duration of each event as measured by an observer ina frame moving at a speed of 2.00 108 m/s along the x axisin the positive x direction. Assume that at t = t = 0, the origins of the two frames coincide.
A particle is moving at a speed less than c/2. If the speed of the particle is doubled, what happens to its momentum?
Two powerless rockets are on a collision course. The rockets are moving with speeds of 0.800c and 0.600c and are initially 2.52 × 1012 m apart as measured by Liz, an Earth observer, as shown in Figure P1.34. Both rockets are 50.0 m in length as measured by Liz. (a) What are their respective proper lengths? (b) What is the length of each rocket as measured by an observer in the other rocket? (c) According to Liz, how long before the rockets collide? (d) According to rocket 1, how long before they collide? (e) According to rocket 2, how long before they collide? (f) If both rocket crews are capable of total evacuation within 90 min (their own time), will there be any casualties? Figure P1.34
An observer in frame S sees lightning simultaneously strike two points 100 m apart. The first strike occurs at x1 = y1 = z1 = t1 = 0 and the second at x2 = 100 m, y2 = z2 = t2 = 0. (a) What are the coordinates of these two events in a frame S moving in the standard configuration at 0.70c relative to S? (b) How far apart are the events in S? (c) Are the events simultaneous in S? If not, what is the difference in time between the events, and which event occurs first?
Owen and Dina are at rest in frame S, which is moving with a speed of 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P26.45). Owen throws the ball to Dina with a speed of 0.800c (according to Owen) and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, and (d) how fast is the ball moving? Figure. P26.45
One cosmic ray neuron 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 in this situation? Discuss in terms of the equation given in part (a) of the previous problem.