Final answer:
The magnitude of the force exerted on the soccer ball when delivering an impulse of 23 kg·m/s for a duration of 0.25s is calculated to be 92 Newtons.
Step-by-step explanation:
The magnitude of the force exerted on a soccer ball when delivering an impulse is calculated using the equation of impulse, which is the product of the force and the time the force acts. The impulse provided to the ball is given as 23 kg·m/s, and the force acts for a duration of 0.25s. Using the formula for impulse (Impulse = Force × Time), we can rearrange to solve for the magnitude of the force (Force = Impulse / Time).
Force = Impulse / Time = 23 kg·m/s / 0.25s = 92 N.
Therefore, the magnitude of the force exerted on the soccer ball is 92 Newtons.