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# Linear Momentum Formula

Linear momentum or simply momentum is defined as the product of mass and velocity of an object. It is a vector quantity and possesses the direction of velocity. Linear momentum is a conserved quantity, which means the total momentum of a system is constant. SI unit of linear momentum is given as kgm/s and it is denoted as P. Formula for linear momentum is,

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## Linear Momentum Problems

Let us discuss the problems of linear momentum in this section:

### Solved Examples

Question 1: Calculate the linear momentum of a body with mass 5kg moving with a speed of 15m/s?

Solution:

Given quantities are,
m = 5kg and v = 15m/s, P = ?
Liner momentum formula is given as,
P = mv
P = 5$\times$15 = 75kgm/s

Question 2: The linear momentum of a body is 45kgm/s. The mass of the object is 3kg, calculate the velocity of that object?

Solution:

Given quantities are,
m = 3kg and v = ?, P = 45kgm/s
Liner momentum formula is given as,
P = mv

v = $\frac{P}{v}$

v = $\frac{45}{3}$ = 15m/s

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