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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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