Question

1. during a soccer game, a player shoots a ball, causing it to move at 22 m/s. the ball comes to a complete stop when it hits the goal post.

a) if the collision lasts for 0.2 s, what is the acceleration of the ball?
b) if the mass of the ball is 0.32 kg, what is the net force acting on the ball?

Explanation:

Step1: Calculate acceleration

Use the formula \(a=\frac{v - u}{t}\). Here, the final velocity \(v = 0\ m/s\), the initial velocity \(u=22\ m/s\), and the time \(t = 0.2\ s\).

$$a=\frac{0 - 22}{0.2}=\frac{- 22}{0.2}=-110\ m/s^{2}$$

Step2: Calculate net force

Use Newton's second law \(F = ma\). Given \(m = 0.32\ kg\) and \(a=-110\ m/s^{2}\)

$$F=0.32\times(- 110)=-35.2\ N$$

Answer:

a) The acceleration of the ball is \(-110\ m/s^{2}\)
b) The net force acting on the ball is \(-35.2\ N\)