The magnitude of the resulting impulse can be calculated using the principle of conservation of momentum. When the ball hits the wall, it experiences a change in momentum due to the impulse imparted by the wall. The magnitude of the resulting impulse can be determined using the equation:
Impulse = Change in momentum
The momentum of an object is given by the product of its mass and velocity. Initially, the ball is moving with a speed of 2 m/s, and when it hits the wall, it comes to rest. Therefore, the change in velocity is 2 m/s. The mass of the ball is 5.0 kg.
Change in momentum = Final momentum - Initial momentum
Since the final momentum is zero (the ball comes to rest), the change in momentum is equal to the initial momentum:
Initial momentum = mass × velocity
Initial momentum = 5.0 kg × 2 m/s = 10 kg·m/s
Therefore, the magnitude of the resulting impulse is 10 kg·m/s.