Question

if the mass of earth is 100 times that of the moon and radius of the earth is 4times that of the moon. prove that the acceleration due to gravity on moon is 1/6 of the earth.​

Answer 1

Explanation:

Acceleration due to gravity on the earth's surface is g=

R

e

2

GM

e

Acceleration due to gravity on the moon's surface is g

m

=

R

m

2

GM

m

Given, R

m

=

4

R

e

or

R

e

R

m

=

4

1

and M

m

=

80

M

e

or

M

e

M

m

=

80

1

So,

g

g

m

=

M

e

M

m

×(

R

m

R

e

)

2

=(1/80)×(4)

2

=1/5

or g

m

=g/5

Answer 2

Kindly see the pictures for the answer