Question

if the energy of a ball falling from a height of 10 metres is reduced by 40%, how high will it rebound?

Answer 1

After losing 40% of its energy, the ball will rebound to 60% of its original height, resulting in a rebound height of 6 meters.

Step-by-step explanation:

If the energy of a ball falling from a height of 10 meters is reduced by 40%, we first calculate the remaining energy after the bounce, which will be 60% (100% - 40%) of the original energy. Since potential energy at a height (PE) is directly proportional to the height (h), we can say:

PE_final = 0.6 × PE_initial

Given that PE is proportional to h, we have:

h_final = 0.6 × h_initial

So:

h_final = 0.6 × 10 m = 6 m

Thus, the ball will rebound to a height of 6 meters after losing 40% of its energy during the collision.