Question #21bcd

1 Answer
A08
Oct 24, 2016

Yes

Explanation:

As per Law of Universal Gravitation the force of attraction between two bodies is given by the expression

#F_G =G (M_1.M_2)/r^2#

Where #G# is the proportionality constant.
It has the value #6.67408 xx 10^-11 m^3 kg^-1 s^-2#

If #M_p# is the mass of planet and #R_p# is its radius. The force acting on a mass #m# having radius #r"<<"R_p# located on the surface of the planet is

#F_G =G (M_p.m)/R_p^2#
Comparing above with the expression between mass and weight
#W=mg#
we get expression for gravity of the planet as
#g_p =G (M_p)/R_p^2#
#=>g_p propM_p#

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