Question

Question #21bcd

Answer 1

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`