Question

The radius of the earth is 6370 km & of mars is 3400km.If an object weights 200N on earth what will be its weight on mars.The mass of mars is 0.11 as that of earth.​

Answer 1

Let the mass of earth and the mass of the body are m₁ and m respectively. Also let, g' is the gravitational acceleration on the mars.

Then the mass of mars is =0.11m₁.

Radius of earth=r₁=6370km

Radius of mars=r₂=3400km

Weight of the body on earth is 200N.

∴, mg'=Gm₁m/(r₂)²

or, mg'=G×0.11m₁m/(3400)²×(r₁²/r₁²)

or, mg'={(0.11×r₁²)/3400²}×(Gm₁m/r₁²)

or, mg'=(0.11×6370²×200)/(3400)²

or, mg'=(0.11×6370×6370×200)/(3400×3400)

or, mg'=(22×637×637)/(34×3400)

or, mg'=8926918/115600

or, mg'=77.22N