1. Understand the Concepts

* Impulse: Impulse is the change in momentum of an object. It's calculated as the product of force and the time over which the force acts: Impulse = Force × Time.

* Momentum: Momentum is a measure of an object's mass in motion. It's calculated as the product of mass and velocity: Momentum = Mass × Velocity.

2. Calculate the Change in Momentum

* Initial momentum = mass × initial velocity = 0.068 kg × 22.1 m/s = 1.5028 kg·m/s

* Final momentum = 0 kg·m/s (since the ball comes to a stop)

* Change in momentum = Final momentum - Initial momentum = 0 - 1.5028 kg·m/s = -1.5028 kg·m/s

3. Calculate the Average Force

* Impulse = Change in momentum = Force × Time

* Force = Change in momentum / Time = -1.5028 kg·m/s / 0.36 s = -4.1744 N

4. Magnitude of the Force

Since we're interested in the magnitude (the absolute value) of the force, we ignore the negative sign.

Answer: The average magnitude of the force applied by the wall is approximately 4.17 Newtons.