Question

State Newton's second law of motion and derive the formula for force

Answer 1

✌✌Newton's second law of motion :Rate of change of momentum is directly proportional to the force applied on it

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✅✅ Suppose we have a body of mass 'm' moving with velocity V1 therefore Momentum is
P1=mv1

✅therefore , Momentum is P1 =mv1

✔A force is applied on it for time 't' to change its velocity i.e V2

P2 =mv2

Rate of change of momentum

P1-P2
=mv2-mv1
=m(V2 -v1)

Rate of change of momentum

F=m(v2-v1)/t
F=m.v/t

F=m.v/t
F is directly proportional to ma
:F=ma ✌✌✌✌✌✌✌♥♥♥

Answer 2

Newton second Law of Motion is defined as the rate of change in Momentum is directly proportional applied unbalanced force and takes place in the same direction in which the force acts.   Derivation of Formula for Force.   Lets, Consider a body of mass m, at point A, such that it's initial velocity is u. Let the body be acted upon by a force F for time t seconds, Such that at point B, it's final velocity becomes v. Let a be the acceleration of the body During the change in Velocity.   Now,  Initial Momentum of body at A= mu Final momentum of body at B = mv   Change in Momentum of the body in time t = mv-mu   Rate of Change in Momentum=mv-mu/t   => m(v-u)/t ------- (keep out m as Common) =>  ma ( v-u/t = a)  => F = K.ma  K is constat because if there is a body having a unit mass and unit acceleration, such that the force possessed by it, is one unit, then:-  => 1= K x 1 x 1 => 1 = 1   => F = 1 x ma => F = ma   Be Brainly