If the distance from the center of the Earth is doubled, how does the gravitatio

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Question: If the distance from the center of the Earth is doubled, how does the gravitational potential change?

Options:

Correct Answer: It halves.

Solution:

The gravitational potential is inversely proportional to the distance, so if the distance is doubled, the potential halves.

If the distance from the center of the Earth is doubled, how does the gravitational potential change?

If the distance from the center of the Earth is doubled, how does the gravitational potential change?

Step 1: Understand that gravitational potential depends on distance from the center of the Earth.
Step 2: Know that gravitational potential is inversely proportional to distance. This means that as distance increases, gravitational potential decreases.
Step 3: If the distance from the center of the Earth is doubled, it means you are moving further away.
Step 4: Since the distance is doubled, the gravitational potential will change according to the inverse relationship.
Step 5: If the distance is doubled, the gravitational potential becomes half of what it was before.

Gravitational Potential – Gravitational potential is the work done per unit mass to bring an object from infinity to a point in a gravitational field, and it is inversely proportional to the distance from the mass creating the field.
Inverse Relationship – Understanding that gravitational potential decreases as the distance from the mass increases, specifically following the formula V = -GM/r, where V is gravitational potential, G is the gravitational constant, M is the mass, and r is the distance from the mass.