Question

Define the terms momentum and impulse. Obtain the relation between impulse and momentum.

Answer 1

Step 1:Defining momentum and impulse

1. Momentum is the product of a particle's mass and velocity.
2. Momentum is a vector quantity, which means it has a magnitude as well as a direction.
3. According to Isaac Newton's second law of motion, the time rate of change of momentum equals the force acting on the particle.
4. The change in momentum of an object is measured by impulse.
5. The Newton-second is the unit of impulse, which is defined as the integral of force over time.

Step 2:The relation between impulse and momentum

We know that Impulse=$Force\times Time$and
$F=\frac{dp}{dt}$
or
$Fdt=dp$
Integrating within limits, we get
$F\times t=p_2-p_1$
here
$F\times t=\mathrm{I}$ which is impulse
and $p_2-p_1$is the change in momentum thus,
So impulse= change in momentum