Question

How does the weight of an object vary with respect to mass and radius of the earth?

Answer 1

weight of an object=mass of the object × gravity of earth

mass of earth remains same everywhere 

gravity is given by

g=GMm/R2

M=mass of earth

m=mass of object

R=radius of earth

G=universal gravitational constant

g=9.8m/s2 on earth

so  if the diameter of the earth becomes half of its present value and mass become four time its present value then.

R'=R/2 and M'=4M

g'=GM'm/R'2

g'=G(4M)m/(R/2)2

g'=16GMm/R2

g'=16g

so the weight of the body will be

mass×g' =mass×16g=16 times the initial weight

Answer 2

Answer:

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