Question Detail

PHY 101 Work, Energy and Power Objective Question

Question

A ball of mass 1.0 kg drops from a height of 2.5 m and rebounds to a height of 2.3 m. What is the energy lost during the collision with the ground?
Options
A 0.2 J
B 1.96 J
Correct Answer
C 19.6 J
D 4.8 J
Correct Answer

Option B is the correct answer.

Detailed Explanation

The energy lost is the difference in potential energy between the initial and final heights. ΔPE = mg(y₁ - y₂) = 1.0 kg × 9.8 m/s² × (2.5 m - 2.3 m) = 9.8 × 0.2 = 1.96 J. This energy is dissipated as heat and sound during the inelastic collision.

Hint

Energy lost equals the change in gravitational potential energy from the drop height to the rebound height.

Question Info