Question

Using your definition in a(i) deduce that linear momentum is constant for an object in equilibrium

Answer 1

Answer:

First method :

For an object in equilibrium, net force (F) acting on the object is zero.

We know,

F = ma = m(Vf - Vi)/t

0 = m(Vf - Vi)/t

Vf = Vi

Therfore, we observe that velocity is constant.

now, P (momentum) = mv

since, V is constant, therefore, P is also constant.

Second method :

Using Newton's second law of motion,

F = dp/dt

For an object in equilibrium, net force (F) = 0

therefore,

dp/dt = 0

or rate of change in momentum = 0

therefore, momentum is constant.