Question

A soccer player runs up behind a 0.450-kg soccer ball traveling at 3.20 m/s and kicks it in the same direction as it is moving, increasing its speed to 12.8 m/s. What magnitude impulse did the soccer player deliver to the ball?

Answer 1

To develop this problem it is necessary to use the concepts related to Impulse.

The impulse is defined as the change in velocity at the rate of mass, that is

$L = m\Delta V,$

Where,

m = Mass

$\Delta V =$ Change in Velocity

This change in velocity can be expressed as,

$L = m(v_2-v_1)$

$L = 0.45*(12.8 - 3.2)$

$L = 0.45*9.6$

$L= 4.32 Kg.m/s$

Therefore the magnitude of the impulse is 4.32 Kg.m/s