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Question

A steel ball having mass 100 g is moving with velocity 20 m/s. In the same direction, a ball of clay having mass 20 g is moving with velocity 10 m/s. If after some time, both balls collide and stick together, what will be the speed of steel ball after collision?

A
1.833 m/s
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B
18.33 m/s
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C
11.33 m/s
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D
16.66 m/s
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Solution

The correct option is B 18.33 m/s
Let m1 and u1 denotes the mass and initial velocity of steel ball and m2 and u2 denotes the mass and initial velocity of clay ball.
Before collision

After collision,

After collision, both balls stick together. Therefore it is perfectly inelastic collision.
Applying conservation of momentum before and after collision.
m1u1+m2u2=(m1+m2)v
0.100×20+(0.020)×(10)=(0.100+0.020)×v
v=18.33 m/s

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