Question

What will be the effect on the acceleration due to gravity of the earth if it is compressed to a size the moon?

Answer 1

Answer:

The acceleration due to gravity of the earth would be increased by about 14 times more than that of the present value at its surface if it is compressed to the size the moon.

Explanation:

This is because the radius of the earth is decreased but the mass of the earth remains the same and we know that,

                                    g ∝ M

                                    g ∝ $\frac{1}{R^{2} }$

                   

Answer 2

Answer:

If the earth were squeezed to the size of the moon, the acceleration due to gravity would be about 14 times greater than it is now at the surface.

Explanation:

• Because acceleration due to gravity is inversely proportional to the square of radius if the mass is constant if the current earth is compressed to the size of the moon, the acceleration due to gravity will be increased by nearly 14 times.
• The longer an object descends toward the ground, the more gravity causes it to fall at a quicker and faster rate.

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