Question

The moons radius is 1/4 that of the earth and its mass is 1/80 times that of the earth. If g represents the acceleration due to gravity on the surface of the earth, that on the surface of the moon is
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Answer 1

Answer:

g/5

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