Question

What would be the ratio of the weight of an object of mass M kg on the earth and on the Moon the acceleration due to gravity on the moon is one sixth of its value on the earth

Answer 1

We know that W=Mg

So, Weight on earth=mg

weight on moon=mg×1/6

dividing both we will get

Weight on moon/Weight on earth =1/6

Answer 2

Answer:

let the mass of eath be Me

let the the radius of earth be Re^2

According to the universal law of gravity, weight of the object on the surface of the earth given

We=G Me m

Re^2

Wm=Mm×Re^2

We. Me×Rm^2

Where,

Me=5.98×10^24

Mm=7.36×10^22

Re=6.4×10^6

Rm=1.74×10^6

We=7.36×10^22×(6.4×10^6)^2

Wm. 5.98×10^24×(1.74×10^6)^2

=0.165

= 1

6

^ is raise to power