Question

A planet which have half radius & mass then earth. If a object W mass on earth then what is the mass on planet which have half radius and mass?

Answer 1

acceleration due to gravity becomes twice of original.

formula for acceleration due to gravity is

G is a constant equal to 6.67 × 10-11 N-m2/kg2,

M is mass of planet which is also a constant

r is radius of planet which is also a constant

if mass and radius are half of original i.e M/2 and r/2

g'=G(M/2)/(r/2)^2

which gives g' = 2GM/r^2

g'=2g

acceleration due to gravity got twice of original

Hope it helps you

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