Question

the moon radius is 1/4 th of the earth and its mass is 1/80 times of the earth if g represents value of acceleration due to gravity on the suarface of earth then the corresponding value on the suarface of moon will be

Answer 1

Answer:

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