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Question

HOW MUCH WORK IS NEEDED TO BE DONE ON A BALL OF MASS 50 G TO GIVE IT A MOMENTUM OF 500G/CM

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Solution

Mass of the ball, m = 50 g = 0.05 kg

Initial velocity, u = 0

Final momentum = 500 g cm/s = 500 (10-3 kg)(10-2 m/s) = 5 × 10-3 kg m/s

Final velocity, v = (Final momentum)/mass = (5 × 10-3)/(0.05) = 0.1 m/s

So, the change in KE of the ball is,

½ × m × v2 – ½ × m × u2

= ½ × 0.05 × 0.12 - ½ × 0.05 × 0

= 0.0025 J


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