Question

The radius of earth is 6400km and mars is 3200km the mass of earth is 10 times the mass of mars if an object weighs 200N on earth surface than what would be its weight on mars

Answer 1

Given:
Weight of object on Mars = 200N
 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 = 200 N
Weight of object of Mars = M x gm
⇒ M[(2/5)ge]
⇒ Mge x (2/5)
= (200 x 2)/5 = 80 N
∴Weight Of Object on Mars = 80N

Answer 2

Answer:80 N

Explanation:

Weight on Earth (W)= mg

200=m×9.8

200/9.8=m

Now, acceleration due to gravity on mars (g')=G×(Me/10)÷(Re/2)^2

g'=4/10(GMe/Re^2)

g'=4/10(9.8)

W mars=mg'

W mars=(200/9.8)×(4/10)×9.8

W mars=80N

Hope this clears your doubt...

Solution in the attachment. If youare unable to understand this.

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