# What is gravitational potential energy?

1. Aug 26, 2014

### Miraj Kayastha

is GPE at a point the work we must do against the gravitational force to bring an object from infinity to the point? Or is it the work done by the gravitational force?

2. Aug 26, 2014

### mahesh27dx

It is the work done by the gravity.

3. Aug 26, 2014

### Staff: Mentor

Yes.

No, it's the negative of that.

4. Aug 26, 2014

### sophiecentaur

It has to be the work done ON. The Force could be due to many causes - a spring and gravity, for instance. How would you apportion the work done BY between the two, if it worked your alternative way? If you read the definition anywhere, it is quite consistent.

5. Aug 26, 2014

### jbriggs444

What point are you trying to make here? That gravitational potential energy is equal to the work done ON an object to oppose gravity rather than the work done ON an object by gravity amounts to nothing more than a sign convention.

We adopt the sign convention that we do so that "Kinetic Energy" plus "Gravitational Potential Energy" is conserved.

One could equally well adopt the opposite sign convention so that "Kinetic Energy" minus "Gravitational Energy Deficit" is conserved.

6. Aug 26, 2014

### sophiecentaur

I was just pointing out that using the definition avoids any confusion (of sign, as you say). If you start introducing the idea that gravity 'does work' when things fall then there can be utter confusion if and when there is another agency involved. I think that is a valid point and is not just a matter of a sign.

7. Aug 26, 2014

### jbriggs444

If gravity is modelled as a force then gravity does do work when things fall. If two forces are applied to a moving object then both forces do work. That there can be confusion does not change the facts of the matter.

8. Aug 26, 2014

### dipole

That's a perfectly suitable definition. Another definition could be the work done against gravity to bring an object to a certain distance above the ground. Potential energy is not an absolute number - the point which you define to be zero, either ground level, infinity, or wherever, is totally arbitrary. Potential differences, however, are not arbitrary and do have physical meaning.

9. Aug 26, 2014

### sophiecentaur

The question was about Gravitational Potential. I thought that was defined in terms of Work done ON a unit Mass to bring it from infinity. Isn't that the fact of the matter? I can't see a need to consider who does the work so why is there a need to worry further?

10. Aug 26, 2014

### jbriggs444

It is defined in terms of the work done ON a unit Mass BY all forces other than gravity. Or, as the OP worded it, ON an object AGAINST the force of gravity, (which I read to be the same thing).

But apparently I have misunderstood your point. It had seemed that you were claiming that gravity does not do work. Upon re-reading I see that you had not actually made such a claim.