A certain object weighs 22.2 N on the surface of Earth.If the radius of the moon is 0.276 times the radius of Earth and the mass of the moon is 0.0123 times the mass of Earth,the object's weight on the surface of the moon is approximately
A)0.365 N
B)3.58 N
C)9.79 N
D)22.2 N
E)133 N

Question

Quizplus · Accepted Answer

Weight=mass×acceleration due to gravity
On Earth,
Weight=22.2 N
Mass of object=m
Acceleration due to gravity on the Earth=g
So, 22.2=m×g             ---(1)
On the moon,
Mass of object=m
Acceleration due to gravity on the moon=g/6       (as gmoon=1/6gEarth)
Radius of moon=0.276×Radius of Earth
Mass of moon=0.0123×Mass of Earth
Weight of an object on the moon=w
So, w=m×g/6                      ---(2)
Dividing equation 1 by equation 2,
(22.2/w)=6(g/gmoon)
Putting the values of g/gmoon, we get
(22.2/w)=6(1/6)
w=3.58 N

Therefore, the weight of the object on the lunar surface is approximately 3.58 N.

A Certain Object Weighs 22