Question Detail

PHY 101 Work, Energy and Power Objective Question

Question

A diver of mass m drops from a board 10.0 m above the water's surface. Neglecting air resistance, what is the diver's speed upon impact with the water?
Options
A √(2g × 10.0)
Correct Answer
B g × 10.0
C √(g × 10.0)
D ½ g × 10.0
Correct Answer

Option A is the correct answer.

Detailed Explanation

Applying conservation of mechanical energy: initial energy (all potential at height h) equals final energy (all kinetic at y=0). So, mgh = ½ mv². Solving for v gives v = √(2gh). Substituting h = 10.0 m yields v = √(2g × 10.0).

Hint

Set the initial potential energy equal to the final kinetic energy and solve for velocity.

Question Info