Question

State Newton’s first law of motion. Derive a mathematical expression for Newton’s second law.

Answer 1

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NEWTON FIRST LAW

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a body at rest will remain at rest or a body in motion will continue in motion until an external force applied on it.

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example when you are going in a bus and driver suddenly puts break your body falls forward.it is because of the first law
your upper body want to move continue the motion but your lower body is fixed to the seat of the bus so you fall forward.
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NEWTON SECOND LAW

The rate of change of momentum of the body is directly proportional to the applied force and takes place in the direction in which the force acts

F   is DIRECTLY PROPROTIONAL TO (  mv - mu) / t

=>          F     DIRECTLY PROPROTIONAL TO   m (v-u) / t 

     >>>  as we know that v-u/t = a

 so ,           F       DIRECTLY PROPROTIONAL TO         m x a