Q.

An object of mass 100 kg is accelerated uniformly from a velocity of 5 m s–1 to 8 m s–1 in 6 s. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.

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Detailed Solution

Mass of object m=100kg

Initial velocity, u=5ms−1

Final velocity, v=8ms−1

Time, t=6s
Initial momentum =mu=100×5=500Ns
Final momentum =mv=100×8=800Ns
Force exerted on the object
F=(mv−mu)/ t​ = (800−500) /6 ​= 300​ / 6 = 50N

Hence the magnitude of the force exerted on the object = 50 N

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