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Chapter 36: Q. 33 (page 1060)

A 1.0 g particle has momentum 400,000 kgm/s. What is the particle鈥檚 speed in m/s?

Short Answer

Expert verified

The speed of particle is2.4脳108m/s.

Step by step solution

01

Given information 

We have given that, a 1.0 g particle has momentum 400,000 kgm/s.

02

Step 1.

We will use relativistic momentum formula to get the value of photon's velocity.

Formula of relativistic momentum is :

蚁=mv1-v2c2

Here, m = mass of photon

v = velocity of photon

c = speed of light

蚁= relativistic density

03

Step 2.

Substituting the values in the formula :

400,000kgm/s=(1.0脳10-3kg)脳v1-v2c2

1-v2c2=1.0脳10-3kg400,000kgm/sc(vc)

1-v2c2=34(vc)

1-v2c2=916v2c2

v=2.4脳108m/s

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Most popular questions from this chapter

A ball of mass m traveling at a speed of 0.80c has a perfectly inelastic collision with an identical ball at rest. If Newtonian physics were correct for these speeds, momentum conservation would tell us that a ball of mass 2m departs the collision with a speed of 0.40c. Let鈥檚 do a relativistic collision analysis to determine the mass and speed of the ball after the collision.

a. What is gp, written as a fraction like a/b?

b. What is the initial total momentum? Give your answer as a fraction times mc. c. What is the initial total energy? Give your answer as a fraction times mc2 . Don鈥檛 forget that there are two balls.

d. Because energy can be transformed into mass, and vice versa, you cannot assume that the final mass is 2m. Instead, let the final state of the system be an unknown mass M traveling at the unknown speed uf. You have two conservation laws. Find M and uf.

At what speed, as a fraction of c, is a particle鈥檚 momentum twice its Newtonian value?

What is the speed, in m/s, of a proton after being accelerated from rest through a 50脳106Vpotential difference?

Two rockets approach each other. Each is traveling at0.75cin the earth鈥檚 reference frame. What is the speed, as a fraction of c, of one rocket relative to the other?

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a . How fast, as a fraction of c, must the rocket travel relative to earth?

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