If the distance between two masses is doubled, gravitational... | PHYSICS - ACCELERATION DUE TO GRAVITY BELOW AND ABOVE THE SURFACE OF EARTH | SolveeIt | Solveeit

Today, August 19

Question

If the distance between two masses is doubled, gravitational attraction between them –

A

Is doubled

B

Becomes four times

C

Is reduced to half

D

Is reduced to a quarter

Answer

Is reduced to a quarter

Explanation

Solution

F = $\frac { \mathrm { GM } _ { 1 } \mathrm { M } _ { 2 } } { \mathrm { R } ^ { 2 } }$ , R is doubled, so F µ $\frac { 1 } { \mathrm { R } ^ { 2 } }$ so F becomes 1/4^th of its present value.