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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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

Given quantities are,

m = 5kg and v = 15m/s, P = ?

Liner momentum formula is given as,

P = mv

P = 5$\times$15 = 75kgm/s

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