Given, radius of Earth and Mars are
6400‌km and
3200‌km , respectively.
Mass of Earth
=10 (Mass of Mars)
Me=10Mm We know that, acceleration due to gravity at surface of a planet is
g=, where,
M= mass of planet and
R= radius of planet.
Taking the ratio of acceleration due to gravity of Mars to Earth,
= =×()2 By substituting the values, we get
=×()2=×4 ⇒gm=ge Given, the weight on earth's surface,
we=mge=200N ∴ Weight on the Mars surface,
wm=mgm=(mge) =×200N=80N