How to Calculate the Velocity of a Soccer Ball After a Kick

Question:

A soccer ball of mass 0.5 kg, initially at rest, is kicked by a force of magnitude 1100 N for 13 ms. What is the velocity of the ball after the kick?

Answer:

The velocity of the soccer ball after the kick is 28.6 m/s.

To find the velocity of the soccer ball after the kick, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the force acting on the ball is 1100 N.

First, we need to calculate the acceleration of the ball. We can use the equation F = ma, where F is the force, m is the mass, and a is the acceleration. Rearranging the equation, we have a = F/m. Plugging in the values, we get a = 1100 N / 0.5 kg = 2200 m/s^2.

Next, we need to find the change in velocity of the ball. We can use the equation Δv = a * t, where Δv is the change in velocity, a is the acceleration, and t is the time. Plugging in the values, we get Δv = 2200 m/s^2 * 0.013 s = 28.6 m/s.

Since the ball was initially at rest, the final velocity is equal to the change in velocity. Therefore, the velocity of the ball after the kick is 28.6 m/s.

In summary, the velocity of the soccer ball after the kick is 28.6 m/s.