A body weights 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its surface is [2025]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
A body weights 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its surface is [2025]

1 32 N

2 36 N

3 16 N

4 27 N

Ans.
(4)

Given, $W = 48 N$ and $h = \frac{R}{3}$

Gravitational force at a height $h$ above the surface of the Earth, $F = \frac{G m M}{{(R + h)}^{2}}$

or $F = \frac{G (\frac{W}{g}) \times M}{{(R + \frac{R}{3})}^{2}}$ $[∵ Weight, W = m g or m = \frac{W}{g}]$

or $F = \frac{G \times 48 \times M \times 9}{g \times 16 R^{2}}$

Substituting, $g = \frac{G M}{R^{2}},$ we get

$F = \frac{48 \times 9}{16} = 27 N$

Want Us to Email you About Special Offers & Updates?