If the mass of the earth and all objects on it were suddenly doubled, but the size remained the same, the acceleration due to gr

Question

2 years ago

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avity at the surface would become.

1 answer:

timofeeve [1] · Answer 1 · 2023-05-20T22:31:23+03:00

When the mass of Earth doubles, acceleration due to gravity doubles as well.

<h3>Acceleration due to gravity</h3>

Apply Newton's second law of motion;

F = mg --- (1)

where;

F = GmM/R² --- (2)

where;

Solve (1) and (2)

mg = GmM/R²

g = GM/R²

when the mass of Earth doubles, acceleration due to gravity becomes;

g' = G(2M)/R²

g' = 2(GM/R²)

g' = 2g

Thus, when the mass of Earth doubles, acceleration due to gravity doubles as well.

Learn more about acceleration due to gravity here: brainly.com/question/88039

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