A ball of mass 0.265 kg that is moving with a speed of 5.2 m/s collides head-on

Question

A ball of mass 0.265 kg that is moving with a speed of 5.2 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 3.3 m/s .

Part A:

Calculate the velocity of the target ball after the collision.

Express your answer to two significant figures and include the appropriate units.

Part B:

Calculate the mass of the target ball.

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

For elastci collision,

velocity of approach = velocity of separation

5.2 = v + 3.3

v = 1.9 m/s

(A) target ball will moves with 1.9 m/s in the direction of incoming ball.

(B) Applying momentum conservation,

0.265 x 5.2 = - 0.265 x 3.3 + m x 1.9

1.378 = - 0.8745 + 1.9m

m = 1.19 kg

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