The quantity of motion contained in a body is known as the linear momentum of body. Momentum of body depends on two factors.

. For two balls moving with same velocity, more force will be needed to stop the heavier ball than the light ball. This shows, heavier ball has more quantity of motion than light ball. Thus, linear momentum of body is directly proportional to mass of body.

. For the balls of same mass, moving with different velocity, more force will be needed to stop fast moving ball. Thus, linear momentum of body is directly proportional to velocity of body.

Linear momentum is directly proportional to product of mass and velocity of the body. p = m v

It is a vector quantity whose direction is same as that of velocity and magnitude is given by

p = p= mv

Momentum is the product of an object's mass and velocity. The formula for momentum is (p=m*v).The units of momentum are kilograms meters per second kg m /sec.

You can understand with example like a heavy truck traveling on the highway has more momentum than a smaller car traveling at the same speed because it has a greater mass. A moving bullet has a large momentum because it has a very large velocity.

Momentum is symbolized by the letter "p", it is a phenomenon based on which, the physics describes how an object moves. Momentum, therefore, is a vector quantity having both magnitude and direction.

Formula for Momentum:

Momentum (p) = Mass (m) × Velocity (v)

In mathematical notation:

p = mv

Key Points:

Magnitude: The magnitude of momentum depends on the mass and velocity of an object. An object has more momentum if it is more massive, or if it is moving more rapidly.

Direction: Since the momentum of an object moves in the same direction as the velocity of the object.

Unit: The SI unit of momentum is kilogram-meter per second (kg m/s).

Conservation of Momentum: The total momentum of a system does not change if there are no external forces. The basic principle that underlies all collisions, explosions, and other physical phenomena.   Understanding Momentum:

Suppose there were two objects, heavy and slow moving, and light and fast moving. While the lighter object may be faster, the mass may give the heavier object a considerably larger momentum. In sports, in particular, this concept finds ample usage, and so does it in engineering  .