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