Prove newton's second law F=ma . Find the velocity of body of mass 10 kg at t =2 min when a force of 10 dyne exerted on it.
Answers
ANSWER
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∝
Time
Changeinmomentum
F∝
t
mv−mu
F∝m(
t
v−u
)
⇒F∝ma⇒F=kma(∵a=
t
v−u
)
⇒F=ma(∵k=constant=1)
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