Question

The radius of the earth is about 6400km and that of mars is about 3200km. the mass of the earth is about 10 times that of mars. if an object weighs 400 n on the surface of earth its weight on the surface of mars would be:

Answer 1

Hey there!

Given:
Weight of object on Mars = 400 N

Radius of Earth = 6400 km

Radius of Mars = 3200 km

Mass of Earth (Me) = 10 x Mass of Mars (Mm)

⇒Me/Mm = 10

We Know That g α m/R²
⇒ge/gm = (Me/Mm)(Rm/Re)²
⇒ge/gm=10 x (3200/6400)²
⇒ge/gm = 10/4
⇒ gm = (2/5) ge

Weight of object on Earth = M x ge = 400 N

Weight of object of Mars = M x gm
⇒ M[(2/5)ge]
⇒ Mge x (2/5)
= (400 x 2)/5 = 160 N

∴Weight Of Object on Mars = 160 N

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