Question

Explain newtons second law of motion and derive f=ma.



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Answer 1

Initial momentum P1=mu

Final momentum P2=mv

Change in momentum =P2-P1

Change in momentum =mv-mu

Rate of change of momentum=m(v-u)/t

According to newton's 2nd law of motion

Force is directly proportional to rate of change of momentum

F is directly proportional to m(v-u)/t

F=K m(v-u)/t (Here K is a constant proportionality)

But a=v-u/t

F=K M A

If mass is 1 kg

acceleration is 1 ms‐²

Force is 1N then K = 1

F=1×m×a

F=ma.

Answer 2

Answer:

Newton's second law of motion describes the relationship between an object's mass and the amount of force needed to accelerate it. Newton's second law is often stated as F=ma, which means the force (F) acting on an object is equal to the mass (m) of an object times its acceleration (a). This means the more mass an object has, the more force you need to accelerate it. And the greater the force, the greater the object's acceleration.

Hope this helps