A ball of mass 0.320 kg that is moving with a speed of 5.8 m/s collides head-on

Question

A ball of mass 0.320 kg that is moving with a speed of 5.8 m/s collides head-on and elastically with another ball initially at rest. Immediately after the collision, the incoming ball bounces backward with a speed of 3.8 m/s . A ball of mass 0.320 kg that is moving with a speed of 5.8 m/s collides head-on and elastically with another ball initially at rest. Immediately after the collision, the incoming ball bounces backward with a speed of 3.8 m/s .

Part A Calculate the velocity of the target ball after the collision.

Part B Calculate the mass of the target ball.

Explanation / Answer

Conserving momentum,

0.32*5.8 + m*0 = 0.32*(-3.8) + m*v <----- m = mass of the target ball

Conserving Kinetic energy,

0.5*0.32*5.8^2 + 0.5*m*0^2 = 0.5*0.32*(-3.8)^2 + 0.5*m*v^2

Solving the two equations simultaneously, we get :

m = 1.54 kg <------- answer(B)

v = 2 m/s <-------answer (A)

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