Question

The radius of moon is 27 and radius of earth is 1.2 find acceleration due to gravity of surface of moon and also find how much a 424N bogy wiegth there

Answer 1

he acceleration due to gravity on the moon is 1.615 m/s^2

The force applied by an object on the planet, F=mg

and the force applied by planet on the object due to gravity, F=

On comparing both the forces

The force of gravity on the planet is given as

g=

Now the gravity of the moon is calcualted as

\frac{g_m}{g_e}=\frac{(GM_m)/(r_m)^2}{(GM_e)/(r_e)^2}

Plugging the values

\frac{g_m}{9.8}=\frac{(0.012M_e)/(0.27r_e)^2}{(GM_e)/(r_e)^2}

(g_m)/9.8=0.012/0.0729

g_m=1.615 m/s^2