A body of mass 5 kg makes an elastic collision

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A body of mass 5kg makes an elastic collision with another body at rest and continunes to move in the original direction after collision with a velocity equal to 1/10 th of its original velocity then the mass of the second body is

Answered by admin @


M1 = 3 kg u1 v1 = u1/3
m2 = ? u2 = 0 v2 = ?

Elastic Collision => Conservation of Linear Momentum and Total Energy.

m1 u1 + m2 u2 = m1 v1 + m2 v2
3 u1 + 0 = 3 u1 /3 + m2 * v2
=> v2 = 2 u1/ m2

1/2 *3* u1² + 1/2 * m2 * 0 = 1/2 * 3* u1²/9 + 1/2 * m2 * v2²
u1² (8/3) = m2 * (2 u1 / m2)²
m2 = 4 * 3/8 = 1.5 kg

we can also find v2 = 2 u1 /1.5 = 4 u1 /3


you can hint and solve ur question ....

hope it helps to you....

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