A man can jump to a height of 1.5 $m$ on a planet $A$. What is the height he may be able to jump on another planet whose density and radius are, respectively, one-quarter and one-third that of planet $A$

Question

Dr. Abubacker · Accepted Answer

(c) $H = \frac{u^{2}}{2g} \Rightarrow H \propto \frac{1}{g} \Rightarrow \frac{H_{B}}{H_{A}} = \frac{g_{A}}{g_{B}}$
Now $g_{B} = \frac{g_{A}}{12}$ as $g \propto ho R$
$	herefore\frac{H_{B}}{H_{A}} = \frac{g_{A}}{g_{B}} = 12$
$\Rightarrow H_{B} = 12 	imes H_{A} = 12 	imes 1.5 = 18m$

Q. A man can jump to a height of 1.5 $m$ on a planet $A$. What is the height he may be able to jump on another planet whose density and radius are, respectively, one-quarter and one-third that of planet $A$

Explanation

Reviewed by Dr. Abubacker

Want more practice?