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A proton is accelerated to 0.999c.

a. What is the proton鈥檚 momentum?

b. By what factor does the proton鈥檚 momentum exceed its Newtonian momentum?

Short Answer

Expert verified

The relativistic momentum is 1.1210-17kgm/sand the ratio of relativistic momentum and Newtonian momentum is 22.4.

Step by step solution

01

Given information 

We have given that, a proton is accelerated to 0.999c.

02

Part (a) Step 1.

We will use relativistic momentum formula to calculate photon's momentum.

Formula of relativistic momentum is :

=mv1-v2c2

Here, = density

m = mass

v = velocity

c = speed of light

03

Step 2.

Substituting the values in the formula :

=(1.6710-27Kg)(0.999)(3108m/s)1-(0.999)2

=1.1210-17kgm/s

04

Part (b) Step 1.

The ratio of relativistic momentum and Newtonian momentum is:

relativisticnewtonian=mv1-v2c2mv

05

Step 2.

relativisticnewtonian=11-v2c2

relativisticnewtonian=22.4

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