Question

Derive Newton's third law from second law using Calculus ?

Answer 1

Explanation:

The rate of change of momentum is proportional to the applied force and the change of momentum occur in the direction of the force .

The initial momentum of the object = mu,

its final momentum after time = MV

Rate of change of momentum = change in momentum/time

Rate of change of momentum = mv- mu/t = m(v-u)/t =ma

Second law of motion

ma ( alpha sign) F

F = k ma

F = m× a

.

Answer 2

Newton's Third law motion: The third law of motion states that when one object exerts a force on another object, the second object instantaneously exerts a force back on the first. ... Newton's second law states that the net force applied on a body is equal to the rate of change in its momentum..

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