Question

What is the relation between force and momentum?

Answer 1

Hint:-We need to find the definition of force and momentum to find the relation between them.

Complete step by step solution:
Given, the terms force and momentum.
Linear momentum is defined as the product of the mass and the velocity of an object. linear momentum is represented by p = mv.Momentum is directly proportional to the object’s mass and also its velocity. Thus greater the mass velocity, greater the momentum. Momentum p is a vector that has the same direction as the velocity v. The SI unit is kg · m/s.
Momentum measures the content of motion of an object. Momentum doubles, when velocity or mass doubles.
On the other hand force is the push or pull that is applied to an object to change its momentum. According to Newton's second law of motion force is defined as the product of mass and acceleration. Since acceleration is the change in velocity divided by time, we get:
$F{_{net}} = \dfrac{{\Delta p}}{{\Delta t}}$
where $F{_{net}}$ is the net external force, $\Delta p$ is the change in momentum, and $\Delta t$is the change in time.

Additional information:
The relation between force and momentum can be found by:
$\eqalign{
  & force{\text{ }} = {\text{ }}mass{\text{ }} \times {\text{ }}\left( {\dfrac{{velocity{\text{ }}}}{{time}}} \right){\text{ }} \cr
  & \;\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{ }}\dfrac{{\left( {mass{\text{ }} \times {\text{ }}velocity} \right)}}{{time}}{\text{ }} \cr
  & \;\;\;\;\;\;\;\;\; = {\text{ }}\dfrac{{momentum}}{{time}}{\text{ }} \cr} $


Note: A student needs to remember the formula of force and momentum to solve the question.