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# Force and Momentum

## Define Force

Do you know the difference between force and momentum? You'll learn about the relationship between momentum and force and the key differences between the two. In general, momentum is the quantity that describes the contented motion of any object in motion. However, when acting on any object, force is the amount that alters the amount of activity present.

## Define Momentum

Momentum is the amount of motion contained within a moving item. It's a vector quantity whose direction is determined by the velocity. Momentum does not have a classification. An object's momentum is always affected by an imbalanced force acting on it.

• Momentum is the mass multiplied by the velocity of an item.
• When the velocity is raised, it usually doubles.
• Furthermore, if two things are moving at the same speed but have different masses, the momentum of the larger mass will be higher.
• The unit of momentum is kilograms per second.

## Define force

A force is an external action that pushes or pulls something and causes a change in motion. It is a vector quantity. Its direction is determined by the direction of acceleration. The movement of an object is caused by an unstable force applied to the body. The force acting stably, on the contrary, has an identical magnitude but opposite direction. As a result, the overall effect gets nullified.

As a result, the item does not move when a stable force is applied, and the velocity remains zero.

Because momentum = mass x velocity, it means that momentum will also be zero.

## Types of forces:

1. Contact Forces- These are the forces that occur when two objects make physical contact. A bat hitting a ball, for example, is an illustration of contact forces in action.
2. Forces Acting at a Distance- Forces acting between things without any physical contact fall into this category.

Furthermore, the force can be classified in a variety of ways, depending on the classification. In terms of work, for example, if the job is positive, it means the force is operating in a positive direction; however if the job is negative. It means the item is moving in the opposite direction of the work done. As a result, the force acting in this scenario is negative. Mass into acceleration (m x a) relates to force, whereas momentum refers to mass into an object's velocity.

What is the best way to convert an object's momentum into force?

The equation F=dp/dt, describes the momentum and force relationship.
As stated by Newton, the second law of motion yields the following equation.
According to the law, any object's change in momentum is caused by the conversion of mass into force or acceleration.
From the above given equation, if the mass is constant, then,
p=m x v

implying, dp = m x d x v.

Hence, F = m x dv/dt, which is equal to m x a.

The following equations can be used to express the force and momentum relationship:

momentum= (mass x velocity)

As acceleration = velocity/time implies velocity = acceleration x time

So, momentum= (mass x (acceleration x time))

momentum = (mass x acceleration) x time)

momentum = force x time

It is obvious from the following equation that momentum is time-dependent. It demonstrates that when a large force is applied to an object, the amount of momentum increases. The force, on the other hand, does not depend on time in the same way that momentum does. It means that if the momentum remains constant, the quantity of force will decrease with time. Both direction and magnitude are present in momentum and force. It signifies that both quantities are vectors. If velocity changes, momentum changes as well, according to the formula p = m x v. Even if an object's velocity changes, the force is always constant. The major difference between momentum and force are as follows:

 Force Momentum Force = Mass x Acceleration Momentum = Mass x Velocity Forces can exist for a stationary object Momentum is zero for a stationary object The force's direction is determined by the acceleration. The direction of momentum is determined by the direction of velocity. The force is inversely related to time, meaning that as time passes, the force diminishes. The momentum is exactly related to time; that is, as time passes, the momentum grows as well. This value remains constant with constant acceleration. When the velocity is constant, the momentum fluctuates, but it remains constant when the acceleration is constant.
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