The radius of the earth is 4 times that of the moon and its mass is 80 times that of the moon. If the acceleration due to gravity on the surface of the earth is 10m//s^2that on the surface of the moon will be .........

The radius of the earth is 4 times that of the moon and its mass is 80

1.	The radius of the earth is 4 times that of the moon and its mass is 80 times that of the moon. If the acceleration due to gravity on the surface of the earth is 10m//s^2that on the surface of the moon will be .........
Answer» ` 1ms^(-2)` ` 2ms^(-2)` ` 3ms^(-2)` ` 4MS^(-2)` Solution :`IMPLIES` on earth `g_e = (GM_e)/(R_e^2) ` and on MOON `g_m =(GM_m)/(R_m^2)` `:. g_m/(g_e)=(M_m)/(M_e)xx((R_e)/R_m)^2` `=(1/8)(4)^2` ` :. (gm) /10 =1/5` `:. g_m = 2ms ^(-2)`