Question

2. What happens to the acceleration due to the gravity of the earth if it is compressed to the volume of the moon? Show by the calculations.

Answer 1

Answer:

What happens in acceleration due to the gravity of the Earth when it is compressed to the equal volume of the Moon and why?

The acceleration due to the gravity, g, at the Earth's surface is given by the formula is

g=GM/R^2

Where, R=radius of the Earth.

M=mass of the Earth.

G=gravitational constant

g=acceleration due to gravity

Above formula is based on the assumption that the Earth is perfectly spherical and and its centre of mass is at its centre.

If the Earth is compressed to the size of Moon, the mass M will remain constant, but the value of radius R will be reduced. Hence, the value of g will be increased as R appears in the denominator of the formul

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