Question

calculate the value of g on moon and also show that the weight of the body is 1/6 of the weight of the body In earth.​

Answer 1

Explanation:

W

e

=G

R

m

2

M

e

m

Weight of the object on the moon is

W

m

=G

R

m

2

M

m

m

So, the ratio of object of weight on moon to weight on earth is.

W

e

W

m

=

R

m

2

GM

m

m

×

GM

e

m

R

e

2

⇒

W

e

W

m

=

M

e

M

m

×(

R

m

R

e

)

2

=

100M

m

M

m

×(

R

m

4R

m

)

2

=

100

16

=

6

1

Therefore, the weight of an object on the moon is about

6

1

of its weight on the earth.