Question

State Newton's second law of motion and write it's expression​

Answer 1

Newton's second law of motion states that the acceleration of a system is directly proportional to and in the same direction as the net external force acting on the system, and inversely proportional to its mass.

In equation form, Newton's second law of motion is a=Fnetm a = F net m .

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Answer 2

Newton's second law:'

The rate of change of a body is directly proportional to the resultant external force acting on the body and takes place in the direction in which the force acts .

Derivation:-

Consider a body of mass "m" moving with velocity "v" under the action of net external force "F" in the direction of velocity.

• If its velocity increases by dv in time internals dt

Now,

F is directly proportional to dp/dt

Proportional = K

F =K(dp/dt)

F =K(d/dt){mv}

F = K(m dv/dt + v dm/dt)

F = K[ma + 0]

F = K ma

K=1

F=ma

Hence derived.