What is the relationship between height and gravitational potential energy of water behind a dam?
water is contained in a tidal basin behind a dam. the water has a depth h at high tide and zero at low tide. the gravitational potential energy of the water stored in the basin between a high tide and a low tide is proportional to

1. h^(1/2)
2. h
3. h^2
4. h^3

3.

Explanation:

Energy of volume contained in a dam is given by

where,

A = Horizontal surface area of the barrage

= Density of water

g = Acceleration due to gravity = 9.81 m/s²

h =  Vertical tidal range,

It can be seen that

Hence, the energy is proportional to

the answer is a. the yacht traveled from the dock north to the 200-meter marker in the bay in less than 5 minutes, giving the passengers several more hours to fish.

im doing peak rn so sry if its wrong