Question

| 19. Prove that if the unbalanced force is
not applied, there is no change of
momentum.​

Answer 1

AnswEr :

Unbalanced Force

Resultant of all forces acting on the particle is not zero

Balanced Force

Resultant of all forces acting on the particle is zero

Newton's Second Law

The rate of change of momentum of a particle depends upon the applied force and occurs in the direction of applied force

Mathematically,

$\tt F \propto \dfrac{dp}{dt}$

When a Balanced Forces are acting on the object,

• Net force is zero

Thus,

$\longrightarrow \tt \: \dfrac{dp}{dt} = 0 \\ \\ \longrightarrow \tt \: dp = 0$

There is no change in momentum of the particle when a Balanced Forces are acting on the system

Suppose a spring is in contact with a deformation force,a force equal in magnitude would act in opposite direction to stop the extension or contraction (Restoring Force)

When an Unbalanced Forces are acting,

• Net force would be equal to zero

Thus,

$\longrightarrow \tt \: dp \neq \: 0$

There would be a change in momentum and velocity of the particle