# Linear Momentum Formula

Linear momentum is the vector quantity and defined as the product of the mass of an object, m, and its velocity, v. The letter â€˜pâ€™ is applied to express it and used as momentum for short.Â Please note that the bodyâ€™s momentum is always in the same direction as its velocity vector. Itâ€™s a conserved quantity which means that the total momentum of a system is constant.Â The units of linear momentum are kg m/s.

The linear momentum formula is given by,

### Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  P = m v

Where,

m = mass

v = velocity

Example 1

Determine the linear momentum of a body whose mass is 10kg moving with a speed of 20m/s.

Solution:

Given parameters are,

m = 10 kg

v = 20m/s

Linear momentum formula is expressed as,

P = mv

p = 10 x 20

p = 200 kgm/s

Example 2

The linear momentum of a body is 40 kg m/s and the mass of the object is 5kg. Determine the velocity of the object.

Solution:

Given parameters are,

m = 5 kg

P = 40 kgm/s

Linear momentum formula is given by,

P = mv

v = P / m

v = 40 / 5

v = 8 m/s