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Q.

A boy is rolling a 0.5kg ball on the frictionless floor with the speed of 20 ms−1. The ball gets deflected by an obstacle on the way. After deflection it moves with 5% of its initial kinetic energy. What is the speed of the ball now?

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a

19.0 ms−1

b

1.00 ms−1

c

14.41 ms−1

d

4.47 ms−1

answer is D.

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Detailed Solution

The new kinetic energy is 5% of initial KEKE'=5100KE ⇒12mv'21+k2R2=5100×  12  mv21+k2R2     ⇒v'2=5100202 ⇒v'=5×20×20100=2010  5 =25=4.47ms−1     [Note: We have assumed ball is still rolling after deflection]
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