Problem: A proton with mass 1.67 x 10-27 kg moves in an accelerator with speed of 0.850 c. What is its kinetic energy? (c = 3.00 x 108 m/s).

FREE Expert Solution

In this problem, the proton is moving very fast with a speed close to that of light.

In such a case, the moving mass of the proton is expressed as:

M=m1-v2c2, where m is the mass of the rest particle, v is the velocity of the particle, and c is the speed of light in a vacuum. 

The kinetic energy for a particle with a very high velocity is:

K=(M-m)c2

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Problem Details

A proton with mass 1.67 x 10-27 kg moves in an accelerator with speed of 0.850 c. What is its kinetic energy? (c = 3.00 x 108 m/s).

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