Question

Give proper step by step derivation of Newton’s second law of motion .

Answer 1

Explanation:

Let us consider an object of mass m, moving along a straight line with an initial velocity u. Let us say, after a certain time t, with a constant acceleration, the final velocity becomes v.Here we see that, the initial momentum law Of Motion

The final momentum

Law Of Motion

The change in momentum can be written as

Law Of Motion

As we know, the rate of change of momentum with respect to time is proportional to the applied force. The applied force

Law Of Motion

Or,

Law Of Motion

as acceleration (a) = rate of change of velocity with respect to time.

Law Of Motion

Above is the second law of motion formula.

.

.

.

.