Long questions answer
36. (a) State and explain Newton's second law of motion.
(b) A 1000 kg vehicle moving with a speed of 20 m/s is
brought to rest in a distance of 50 metres :
(1) Find the acceleration.
(ii) Calculate the unbalanced force acting on the vehicle.
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Explanation:
a) Statement:
Newton’s second law of motion states that the force exerted by a body is directly proportional to the rate of change of its momentum. For a body of mass ‘m’, whose velocity changes from u to v in time t, when force ‘F’ is applied.
F∝TimeChangeinmomentum
F∝tmv−mu
F∝m(tv−u)
⇒F∝ma⇒F=kma(∵a=tv−u)
⇒F=ma(∵k=constant=1)
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