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Question
How much work is needed to be done on A ball of mass 100 g to give it a momentum of 5 kgm/s.
How much work is needed to be done on A ball of mass 100 g to give it a momentum of 5 kgm/s.
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Solution
Mass of the ball, m = 100 g = 0.1 kg
Initial velocity, u = 0
Final momentum = 5 kg m/s
Final velocity, v = (Final momentum)/mass = 5/(0.1) = 50 m/s
So, the change in KE of the ball is,
½ × m × v2 – ½ × m × u2
= ½ × 0.1 × 502 - ½ × 0.1 × 0
= 125 J
Mass of the ball, m = 100 g = 0.1 kg
Initial velocity, u = 0
Final momentum = 5 kg m/s
Final velocity, v = (Final momentum)/mass = 5/(0.1) = 50 m/s
So, the change in KE of the ball is,
½ × m × v2 – ½ × m × u2
= ½ × 0.1 × 502 - ½ × 0.1 × 0
= 125 J
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