The mass of the Moon is about [tex]\(\frac{1}{81}\)[/tex] times the mass of the Earth, and its radius is about [tex]\(\frac{3}{10}\)[/tex] times the radius of the Earth.

If the Earth is squeezed to the size of the Moon, what will be the effect on its acceleration due to gravity? Explain with the help of mathematical calculations.



Answer :

Final answer:

When the Earth is squeezed to the size of the moon, the acceleration due to gravity on the Earth will increase by a factor of 81.


Explanation:

When the Earth is squeezed to the size of the moon, the acceleration due to gravity on the surface of the Earth will increase. This can be calculated using the formula for gravitational acceleration: g = G * (M / r^2). Given that mass is conserved, the ratio of the acceleration due to gravity on the Earth after squeezing to the acceleration on the Earth originally is 81.


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