Question

A person weighs 110.84 N on moon, whose acceleration due to gravity is 1/6 of that earth. If

the value of g on earth is 9.8 m/s2, calculate the

i)

g on the moon

ii)

mass of person on the moon

iii)

weight of person on the earth.

b) How does the value of g on the earth is related to the mass of the earth and its radius?

Derive it .​

Answer 1

Answer

(i) (a) g on the moon is given by

g =

g

6

=

9.8

6

= 1.63m/s2

(b) Mass of the person on the moon

=

110.84

1.63

= 68 kg

(c) Weight of person on the earth = mg

= 68 x 9.8

= 666.4 N-m2/kg2

(ii) Weight of a person on the earth will be

w =

G

M

m

R

2

where, M = mass of the earth

R = radius of the earth

m = mass of person

and G = 6.67 x 10-11 N-m2/kg2