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Question

A ball of mass 0.50kg moving at a speed of 5.0 m/s collides with another ball of mass 1.0kg. After the collision the balls stick together and remain motionless. Waht was the velocity of the 1.0 kg block before the collision?

A
0 m/s,at rest
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B
2.5 m/s ,in same direction of first ball
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C
3.5 m/s ,in opposite direction of first ball
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D
2.5 m/s , in opposite dirction of first ball
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Solution

The correct option is D 2.5 m/s , in opposite dirction of first ball
Mass of the ball =m1 = 0.5kg, velocity of the ball = 5m/s
Mass of the another ball m2=1 kg
Let it's velocity = v' m/s
Using law of conservation of momentum,
0.5×5+1×v=0v=2.5
Velocity of second ball is 2.5m/s opposite to the direction of motion of 1st ball.

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