change in momentum formula equals impulse :physics

From the newtons 2^nd law of motion which states that “ the rate of change of a momentum of a body is directly proportional to the force applied and takes place in the direction of the force,”

 From the above law , we can deduce that

 Force  is proportional to change in momentum

Momentum is the product mass and velocity of a body

 Therefore

Change in momentum is given as

mv-mu

 from the above law

 We can write as follows

 

If a force of 1 newton cause an acceleration of 1m/s² on a boy of 1kg

 Then 

 

Proving impulse is  = change of momnetum

But impulse is defined as change of momentum of a body or product of force and time

Impulse = force * time =ft

Change in momentum = mv-mu

M(v-u)

Example

When taken a corner kick, a footballer applies a force of 20N for a period of 0.5 seconds , if the mass of the ball is 0.1kg, calculate the speed with which the ball moves.

Solution

M =0.1kg

F =20          N

T =0.5secs

V =?

Applying