define (i)force (ii)momentum (iii)state newton's second law of motion.
Answers
Force- Any external effort in the form of a pull or push that changes or tends to change the state of motion or rest and it also effect the shape and size of the body.
Momentum- It is the product of mass and velocity.
Momentum= m×v
m stand for mass.
v stands for velocity.
Newton 2nd law of motion- The second law of motion states that the rate of change of momentum of an object is proportional to the applied unbalanced force in the direction of Force.
Mathematical Formulation
If a body of mass(m), moving with a velocity (u) accelerate uniformly at a for time(t) so that the velocity changes to v then,
Initial momentum= mu
Final momentum=mv
Change in momentum= mv-mu
= m(v-u)
According to the second law of motion
F is proportional to Change in momentum/ Time
F is proportional to p2-p1/t
F is proportional to m(v-u)/t
Here v-u/t refers to acceleration. So,
F is proportional to ma
When we replace proportionally sign then we add constant let that constant be k.
F=kma
k=1
F=ma
So ,Proved