Question

Compare your weight at Mars with that on the earth? What happens to your
mass? Take the mass of Mars = 6 × 1023 kg and its radius as 4.3 × 106
m

Answer 1

Let my mass, m = 60kg.

on the earth, my weight , W = mg = 60 × 9.8 m/s² = 588 N

let's find the acceleration due to gravity on the surface of Mars.

using formula, g' = GM/r²

where M = 6 × 10²³ kg , r = 4.3 × 10^6m

so, g' = (6.67 × 10^-11 × 6 × 10²³)/(4.3 × 10^6)²

= 2.16 m/s²

now, my weight on the surface of Mars, W' = mg' = 60kg × 2.16m/s²

= 129.6 N

so, W'/W = 129.6/588 ≈ 0.22

hence, my weight on the surface of the e Mars is 0.22 times my weight on the surface of the earth.