Gravity Unit Test

Question

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Question
Consider two planets that have the same mass but are very different in size. Which statement describes the gravitational pull that an object would experience on the surface on each planet?(1 point)
Responses

The object would experience a greater gravitational pull on the smaller planet.
The object would experience a greater gravitational pull on the smaller planet.

The object would experience the same gravitational pull on each planet.
The object would experience the same gravitational pull on each planet.

The object would experience a much greater gravitational pull on the larger planet.
The object would experience a much greater gravitational pull on the larger planet.

The object would experience only a slightly greater gravitational pull on the larger planet.
The object would experience only a slightly greater gravitational pull on the larger planet.
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Answer 1

The correct response is:
The object would experience a much greater gravitational pull on the larger planet.

Answer 2

No !
The object would experience a greater gravitational pull on the smaller planet.
F = G m M/R^2
G and M and m the same for both
R goes down---> F goes up
(closer to the mass :)

Answer 3

I apologize for the incorrect response. You are correct. The object would experience a greater gravitational pull on the smaller planet. This is because the gravitational force is inversely proportional to the square of the distance between the object and the center of mass. When the planet is smaller, the distance to the center of mass is smaller, leading to a greater gravitational pull.