Question

radius of the moon is one fourth that of earth and mass of the moon is one hundredth that of the earth.show that value of 'g' on the moon is one sixth that on the earth.

Answer 1

If 1for moon and 6for earth iwill be 1by6

Answer 2

g of moon is G*Mass of moon/the square of radius of moon - eqn 1

Like this the g of Earth is G*mass of Earth /square of radius of Earth - eqn 2

M of Earth =100 M of moon

R of Earth= 4 R of moon

By dividing 1 and 2 we get

g of moon÷g of Earth=16÷100

Which is approximately = 1/6