Impulse And Momentum

To determine the average force acting on the soccer ball during the collision, we need to calculate the change in momentum and then use the impulse
-momentum theorem. Given:
- Mass of the ball,
- Initial velocity, (to the left)
- Final velocity, at above the horizontal to the right
- Time of collision, Step 1: Resolve the Final Velocity into Components The final velocity can be resolved into horizontal ( ) and vertical ( ) components: Using trigonometric values: Thus: Step 2: Calculate the Change in Momentum The initial momentum and final momentum are: The change in momentum is: Step 3: Calculate the Magnitude of the Change in Momentum Step 4: Calculate the Average Force Using the impulse-momentum theorem: Final Answer: This corresponds to option (3).