What is the potential energy of a ball in a state of gravitational equilibrium?

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In summary, the conversation discusses the potential energy of a ball in space, where the gravity from the moon and Earth cancel out. The ball remains at rest according to Newton's laws. The potential energies due to the moon and Earth add up rather than canceling each other out.
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Bipolarity
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Let's say we have three objects, moon, Earth and a ball.

Suppose that the ball is in a point in space such that the gravity from the moon cancels out the gravity from the Earth, so that the net force on the ball is zero. Also assume that the ball is at rest.

Then by Newton's laws, the ball will remain at rest.

My question: What is the potential energy of the ball? I can calculate the potential energy due to the moon and the potential energy due to the earth, but will they cancel each other out because they are due to opposing forces? Or do they add up?

Thanks.

BiP
 
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The potential energies are scalars--they add accordingly.
 

What is potential energy?

Potential energy is the energy that an object possesses due to its position or configuration. It is the stored energy that can be released or converted into other forms, such as kinetic energy, when the object's position changes.

How is potential energy calculated?

The formula for calculating potential energy is PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height or distance from the reference point.

What are the different types of potential energy?

The most common types of potential energy are gravitational potential energy, elastic potential energy, and chemical potential energy. Gravitational potential energy is associated with an object's position in a gravitational field, elastic potential energy is stored in an object when it is stretched or compressed, and chemical potential energy is stored in chemical bonds between atoms.

What factors affect potential energy?

The factors that affect potential energy include the object's mass, height or distance from the reference point, and the strength of the gravitational field. Other factors such as the elasticity of a material or the strength of chemical bonds can also affect potential energy in specific cases.

Can potential energy be negative?

Yes, potential energy can be negative. This indicates that the object is in a lower energy state than the reference point. For example, if a ball is dropped from a height of 5 meters, its potential energy at the ground level would be -49 J, indicating that it has lost energy due to its position change.

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