Question

NA
A body weighs 700 g wt on the surface of the earth. How
much will it weigh on the surface of a planet whose mass is 1/7and radius is half that of the earth.
[CMC Vellore 1984; AFMC 2000: RPMT 2005
(a) 200 g wt
b) 400 g wt
(c) 50 g wt
(d) 300 g wt​

Answer 1

Answer:

Gravity on earth is given by the formula = GM/r²

Where G is gravitational constant, M is the mass of earth, r is distance from the centre of earth to a body on the earth surface.

Using this formula, you can also find the acceleration due to gravity on any planet.

If a planet is 1/7 mass of earth, so M = 1/7m

R = 1r/2

g = G×1/7m / (1r/2)²

g = Gm/7 / 1r²/4

g = 4Gm/7r²

g = 4/7 × Gm/r²

gravity on earth was Gm/r² and on another planet is 4/7 times the gravity on earth.

Given mass = 700g

So, Weight on another planet = m×g(of another planet)

= 700 × 4/7

= 400g

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