Question 16

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.

Answer

Mass of the object, m = 100 kg

Initial velocity of the object, u = 5 m/s

Final velocity of the object, v = 8 m/s

Time take by the object to accelerate, t = 6 s

Initial momentum = mu = 100 × 5 = 500 kg m/s

Final momentum = mv = 100 × 8 = 800 kg m/s

By using Newton’s second law of motion, F = change in momentum / time taken = 

Force exerted on the object is 50 N.

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