Gravitational ep in a uniform field

In summary, the estimated amount of water flowing over Niagara Falls in one hour is 3.0 x 10^10 kg, with a fall height of 65 m. The total gravitational potential energy of the water relative to the bottom of the falls is 1.91 x 10^13 J. The power represented by the water is calculated by dividing the energy by time, with a unit of watt (kg*m^2/s^3).
  • #1
kelly242
13
0

Homework Statement


It is estimated that 3.0 x 1010 kg of water flow over Niagara falls each hour. The height of the fall is 65 m. What is the total gravitational potential energy of the water relative to the bottom of the falls that falls in one hour. What is the power represented by the water that goes over the falls?

Homework Equations


Ep=mgh
Ek=1/2mv2

The Attempt at a Solution


Ep=mgh
=(3.0 x 1010 kg)(9.81 m/s2)(65 m)
= 1.91 x 1013 J
secong question is what doesn't make sense
 
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  • #2
power = energy / time

A watt is a unit of power and has SI base units of units kg*m2/s3

I think you have all the needed information.
 

Related to Gravitational ep in a uniform field

What is gravitational potential in a uniform field?

Gravitational potential in a uniform field refers to the energy per unit mass required to move an object from a point in a uniform gravitational field to a reference point, typically infinity.

How is gravitational potential in a uniform field calculated?

The formula for calculating gravitational potential in a uniform field is V = -GM/r, where V is the gravitational potential, G is the universal gravitational constant, M is the mass of the object creating the field, and r is the distance between the object and the reference point.

What is the relationship between gravitational potential and gravitational field strength in a uniform field?

In a uniform gravitational field, the gravitational potential is directly proportional to the gravitational field strength. This means that as the gravitational potential increases, the gravitational field strength also increases.

What happens to gravitational potential as the distance from the reference point increases?

As the distance from the reference point increases, the gravitational potential decreases. This is because the force of gravity decreases with distance, resulting in a lower potential energy.

What is the difference between gravitational potential and gravitational potential energy?

Gravitational potential refers to the energy per unit mass at a certain point in a gravitational field, while gravitational potential energy refers to the total energy an object possesses due to its position in a gravitational field. Gravitational potential energy is calculated by multiplying the gravitational potential by the mass of the object.

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