Potential Energy and Systems

In summary: You have found the work done by the force of gravity as the object is moved a height h. How are potential energy and work related? Work is the amount of energy needed to do something, potential energy is the energy that an object has due to its position or configuration.
  • #1
whitehorsey
192
0
1. When taking an object and the Earth as a system, its change in potential energy is given by
a. m*g*change in height
b. (-m)g*change in height
c. either a or b
d. there is not potential energy due to gravity


3. I think it is c because the sign of energy does not matter?
 
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  • #2
The sign does count. Is the potential energy of the Earth-object system negative or positive if you take the zero of potential energy at infinite separation?

ehild
 
  • #3
ehild said:
The sign does count. Is the potential energy of the Earth-object system negative or positive if you take the zero of potential energy at infinite separation?

ehild

What's infinite separation?
 
  • #4
I meant infinite distance between the centre of Earth and the object where the potential energy of the whole system is zero. The force between them is GmM(earth)/r2, towards each other. That corresponds to the potential energy of interaction U=-GmM/r. Does the potential energy increase or decrease if the object gets farther from the Earth centre?

ehild
 
  • #5
ehild said:
I meant infinite distance between the centre of Earth and the object where the potential energy of the whole system is zero. The force between them is GmM(earth)/r2, towards each other. That corresponds to the potential energy of interaction U=-GmM/r. Does the potential energy increase or decrease if the object gets farther from the Earth centre?

ehild

Oh! Decrease?
 
  • #6
Oh not! The magnitude of a negative value decreases, what does it mean?

ehild
 
  • #7
ehild said:
Oh not! The magnitude of a negative value decreases, what does it mean?

ehild

Ah it becomes positive! So a?
 
  • #8
whitehorsey said:
Ah it becomes positive! So a?

more positive.

Near the Earth surface, the force on the object is mg (downward). Does the potential energy increase or decrease if the object raises by h?


ehild
 
  • #9
ehild said:
more positive.

Near the Earth surface, the force on the object is mg (downward). Does the potential energy increase or decrease if the object raises by h? ehild
PE = (-mg)*(+h) = -mg. So PE decreases too which leads to a?
 
Last edited:
  • #10
whitehorsey said:
PE = (-mg)*(+h) = -mg. So PE decreases too which leads to a?

No, the potential energy is the work against the force of gravity... The work needed to lift the object...

ehild
 
  • #11
whitehorsey said:
PE = (-mg)*(+h) = -mg. So PE decreases too which leads to a?

You have found the work done by the force of gravity as the object is moved a height h. How are potential energy and work related?
 

What is potential energy?

Potential energy is the energy that an object has due to its position or configuration. It is stored energy that can be converted into other forms of energy.

What are the different types of potential energy?

The two main types of potential energy are gravitational potential energy and elastic potential energy. Gravitational potential energy is the energy an object has due to its position in a gravitational field, while elastic potential energy is the energy stored in an object when it is stretched or compressed.

How is potential energy different from kinetic energy?

Kinetic energy is the energy an object has due to its motion, while potential energy is the energy an object has due to its position or configuration. Kinetic energy can be converted into potential energy and vice versa.

What is the law of conservation of energy?

The law of conservation of energy states that energy cannot be created or destroyed, only transferred or transformed from one form to another. This means that the total amount of energy in a closed system remains constant.

How can potential energy be calculated?

The amount of potential energy an object has can be calculated by multiplying its mass, the acceleration due to gravity, and its height above the ground. The formula is PE = mgh, where m is mass, g is the acceleration due to gravity, and h is the height above the ground.

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