The momentum of a body of mass 5kg is 10kg m/s. A force of 2N acts on the body in the direction of
motion for 5 seconds. The increase in kinetic energy of the body will be
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Given,
Mass, m=5 kgMomentum, p=10 kg m/sForce, F=0,2 NTime, t=10 secondsAccording to Newton's second law,Force=Rate of change of momentumF=p2−p1t0.2=mv−1010or mv−10=2or 5×v−10=2or v=12/5 =2.4 m/sTherefore,Final momentum, p2=mv=5×2.4=12 kg m/sIncreases in kinetic energy=p22−p122m=122−1022×5=4.4J
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