Short Note

State and explain Newton’s second law of motion.

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#### Solution

Newton’s Second law of motion states that the force ‘F’ acting on a body of mass ‘m’ producing acceleration ‘a’ is equal to the product of the mass and acceleration of the body. That is, F = ma

It can be derived from the concept of momentum.

Suppose a body of mass ‘m’ has initial velocity ‘u’ and after time ‘t’ its velocity becomes ‘v’. The initial momentum is, P_{i }= mu

The final momentum is P_{f}_{ }= mv

The change in momentum with respect to time ‘t’ is

= (mv − mu)/t = m (v − u)/t = F …….(1)

We know, acceleration, a = (v − u)/t

So, (1) implies,

F = m(v − u)/t = ma

Which is Newton’s Second law of motion.

Concept: Newton's Second Law of Motion

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