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

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

the answer is a. hope this .