Question

If the radius of the earth is reduced to half of its present value, with no change in the mass, the acceleration due to gravity will be

Answer 1

g is inversely proportional to the square of the radius of the earth hence the new acceleration becomes 4g

Answer 2

According to the scientific theory of the gravitational acceleration due to earth's radius,

a=gM/r^2

a is gravitational acceleration

g is Newtonian constant of gravity

M is mass of the earth

r is radius of the earth

So due to the given instructions in the question,

a=gM/r/2^2

So the amount of the gravitational acceleration will be decreased due to the given conditions.