Question

a 200 g ball is dropped from a height of 1.7 m , bounces on a hard floor, and rebounds to a height of 1.1 m . What maximum force does the floor exert on the ball?

Answer 1

To calculate the maximum force exerted by the floor on the ball, we can use the principle of conservation of energy. The maximum force exerted by the floor on the ball is approximately 7 N in the upward direction.

Step-by-step explanation:

To calculate the maximum force exerted by the floor on the ball, we can use the principle of conservation of energy.

When the ball is dropped from a height of 1.7 m, it gains potential energy which is converted into kinetic energy as it falls. When it reaches the floor, it bounces back and gains potential energy again. By equating the initial and final potential energies, we can calculate the velocity of the ball just before it strikes the floor. The average force exerted by the floor can then be found using the impulse-momentum theorem.

Using the given information, the maximum force exerted by the floor on the ball is approximately 7 N in the upward direction.