Physics, asked by romanskhawash, 11 months ago

calculate the speed of particle if the mass is equal to 5 times rest mass

Answers

Answered by Fatimakincsem
1

The speed of the particle is v =  √24 / 25 x c^2.

Explanation:

The relativistic mass is calculated with  the following formula.

m (rel) =m0 /√ 1−v^2 / c^2

5 x m0 = m0 / √1−v^2 /c^2

5 x m0 x √1−v^2 / c^2 = m0

25 x (1−v^2 / c^2) = 1

25 − 25 x v^2 / c^2 = 1

- 25 x v^2 / c^2 = −24

v^2 / c^2 = 24 / 25

v =  √24 / 25 x c^2

Hence the speed of the particle is v =  √24 / 25 x c^2.

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