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Question

A boy releases a 0.5 kg ball along the frictionless floor with the speed of 20 m/s. The ball is deflected by an obstacle on the way. After the deflection, it moves with 5% of its initial kinetic energy. What is the final speed of the ball?

A
14.41 m/s
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B
1.00 m/s
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C
19.00 m/s
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D
4.47 m/s
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Solution

The correct option is D 4.47 m/s
Initial kinetic energy of the ball,

KEi=12mv2=12×0.5×202=100 J

After deflection, kinetic energy of the ball,

KEf=5% of KEi

12×0.5×v2o=0.05×100=5

vo=25 m/s=4.47 m/s

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