Work out the following a) find β = v/c for a person walking at 3 mile/hr and a truck moving at 65 mile/hr. (b) find γ-1, where γ¡s the relativistic factor γ 1/ vi-b" for the velocities in (a). you should expand γusing the small velocity approximation to get the best results

Explanation:

It is given that,

Speed of the person, v = 3 mile/hr = 1.34 m/s

Speed of the truck, v' = 65 mile/hr = 29.05 m/s

(a) Since,

For the person,    

For the truck,

(b) The relativistic factor is given by :

For very small velocity,

For the person :

For the person :

Hence, this is the required solution.

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