Question

If the Earth shrinks to 50% of its real radius
its mass remaining the same, the weight of a
body on the Earth will
a) decrease by 50% b) increase by 50%
c) decrease by 25% d) increase by 300%​

Answer 1

Answer:

As the mass of the earth remains same, so initially the gravitational acceleration,

g=

R

2

GM

and after shrinks g

′

=

(R/2)

2

GM

=4g

% change in weight =

mg

mg

′

−mg

×100=

g

g

′

−g

×=

g

4g−g

×100=300 %