A diver jumps horizontally from a diving board at height H w...

Let's solve this problem step by step using the work-energy theorem, considering the work done by the forces.

Given:

The diver jumps horizontally with an initial speed .

The diver hits the water with a final speed .

The diver’s mass is .

The height of the jump is .

The work done by the diver during the jump is .

The work done by air resistance during the fall is .

Work-Energy Theorem:

The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy:

Kinetic Energy Change (without considering air resistance)

Without considering air resistance, the diver starts with initial kinetic energy (horizontal motion) and ends with final kinetic energy .

The total work done on the diver (by gravity and air resistance) is:

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Physics