A body weighs 700 gm wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass is (1/7) and radius is half that of the earth

Question

A body weighs 700 gm wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass is (1/7) and radius is half that of the earth (A) 200 gm wt (B) 400 gm wt (C) 50 gm wt (D) 300 gm wt

Tardigrade Admin · Accepted Answer

We know that g = (GM/R2) On the planet gP = (GM/7/R2 / 4) = (4g/7) = (4/7)g Hence weight on the planet = 700 × (4/7) = 400 gm wt

Q. A body weighs $700 g m$ wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass is $\frac{1}{7}$ and radius is half that of the earth

$200$ gm wt

$400$ gm wt

$50$ gm wt

$300$ gm wt

We know that $g = \frac{GM}{R ^{2}}$

On the planet $g_{P} = \frac{GM /7}{R ^{2} /4}$

$= \frac{4 g}{7} = \frac{4}{7} g$

Hence weight on the planet

$= 700 \times \frac{4}{7} = 400$ gm wt

Q. A body weighs 700gm wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass is 71​ and radius is half that of the earth

200 gm wt

400 gm wt

50 gm wt

300 gm wt