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The rate of change of velocity of a body per unit of time.

1 vote

How does the gravitational acceleration on a surface of planet change, if its radius shrinks...

The initial acceleration of a mass on the Earth's surface would have the value $$ a_i = \frac{GM}{r^2}. $$ Where $M$ is the mass of the Earth and $r$ the distance from the Earth's center. … If the Earth shrinks by $1 \%$ then the final acceleration will be $$ a_f = \frac{GM}{(0.99r)^2}. $$ The increase in acceleration will be equal to $ a_f/a_i = (0.99)^{-2} \simeq 1.02$. …
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