If the radius of earth were shrink by 1%, its mass remaining... | PHYSICS - ACCELERATION DUE TO GRAVITY BELOW AND ABOVE THE SURFACE OF EARTH | SolveeIt | Solveeit

Today, August 19

Question

If the radius of earth were shrink by 1%, its mass remaining the same, the acceleration due to gravity on the earth's surface would –

A

Decreased by 2%

B

Remain unchanged

C

Increased by 2%

D

Increased by 1%

Answer

Increased by 2%

Explanation

Solution

g = if mass is constant or g µ $\frac { 1 } { \mathrm { R } ^ { 2 } }$

% change in g = – 2× % change in R = – 2 × (– 1%) = + 2%