At what speed should a soccer ball with a mass of 320g fly so that its impulse is equal

At what speed should a soccer ball with a mass of 320g fly so that its impulse is equal to the impulse of a bullet with a mass of 8 g, flying at a speed of 640 m / s.

Given: mm (mass of a soccer ball) = 320 g; mp (bullet weight) = 8 g; Vp (bullet speed) = 640 m / s.

SI: mm = 320 g = 0.32 kg; mp = 8 g = 0.008 kg.

Find: Vm (soccer ball speed) -?

Solution: Since the impulses of the soccer ball and the bullet are equal, we express the required speed of the soccer ball from the equality: Vm * mm = Vp * mp, whence Vm = Vp * mp / mm.

Calculation: Vm = 0.008 * 640 / 0.32 = 16 m / s.

Answer: The soccer ball must fly at a speed of 16 m / s.