a body weighs 90 kgf on surface of earth how much it will weigh on the surface of mars whose - Physics - Gravitation

Question

a body weighs 90 kgf on surface of earth how much it will weigh
on the surface of mars whose mass is 1/9 and radius is 1/2 of that
of earth ?

Jyoti Pant · Accepted Answer

Weight of the body on Earth = mg=90kgf

Thus, Mass of the body= m=90kg

g on Earth= $g = G \frac{M}{R^{2}}$

Mass of a Mars=1/9 M

Radius of a Mars=1/2 R

$g_{m a r s} = \frac{G (\frac{M}{9})}{{(\frac{R}{2})}^{2}} = \frac{4 G M}{{9 R}^{2}} = \frac{4}{9} g$

Thus, Weight of the body= $m X \frac{4}{9} g = \frac{4}{9} 90 = 40 k g f$

a body weighs 90 kgf on surface of earth.how much it will weigh on the surface of mars whose mass is 1/9 and radius is 1/2 of that of earth ?