Mass of Mars is $1 / 9$ and radius $\frac{1}{2}$ that of the earth. A body weighs 54 kg on the surfa

Question

Mass of Mars is $1 / 9$ and radius $\frac{1}{2}$ that of the earth. A body weighs 54 kg on the surface of the earth. Its weight on the surface of Mars will be\

Professor PC Thomas Classes · Answer

$g_{p}=\frac{m}{n^{2} g} g_{e}=\frac{\left(\frac{1}{9}ight)}{\left(\frac{1}{2}ight)^{2}} g_{e}=\frac{4}{9} g_{e}$ \Weight on the planet $=\mathrm{m} 	imes \mathrm{g}_{\mathrm{p}}$ \ $ \begin{aligned} & =54 	imes \frac{4}{9} \mathrm{~g}_{\mathrm{e}} \ & =24 \mathrm{ge}_{\mathrm{e}} \mathrm{~N} \ & =24 \mathrm{kgwt} \end{aligned} $