Question

question 4 (2 points)
listen
if a falling ball made a perfectly elastic collision with the floor, would it rebound to its original height? explain.
paragraph b i u ay

Explanation:

In a perfectly elastic collision, kinetic energy is conserved. When the ball falls, its potential energy converts to kinetic energy. Upon collision, kinetic energy is conserved. As it rebounds, kinetic energy converts back to potential energy. Since no energy is lost (perfectly elastic), the potential energy at the maximum rebound height (mgh) will be equal to the initial potential energy (mgh_initial). So, the height \( h \) (rebound) equals \( h_{initial} \).

Answer:

Yes, it would rebound to its original height. In a perfectly elastic collision, kinetic energy is conserved. The ball's potential energy (at original height) converts to kinetic energy as it falls. After the elastic collision with the floor, kinetic energy is conserved. As the ball rebounds, kinetic energy converts back to potential energy. Since energy is conserved (no loss in a perfectly - elastic collision), \( mgh_{rebound}=mgh_{initial}\), so \( h_{rebound} = h_{initial}\).