First slide

Gravitational field intensity

Question

A body weighs 700gm - wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass is 1/7 and radius half of the earth

Easy

A

200gm wt
B

400gm wt
C

500gm wt
D

300gm wt

Solution

$\large g \propto \frac{M}{{{R^2}}} \Rightarrow {{g}'} \propto \frac{M}{{7{R^2}}} \times 4$
$\large {g}'=\frac 47g$
Now W = mg and $\large {W}'=m{g}'$
$\large \therefore \frac {{W}'}{W}=\frac {{g}'}{g}=\frac 47$
$\large \therefore {W}'=\frac 47\times700\;gm-wt$
$\large =400\;gm-wt$

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