Answer
option b)
It increased by a factor of 5
Explanation
Given that,
the height of cylinder before increment = 100m
the height of cylinder after increment = 500m
factor by which it is increased = 5
Formula to calculate gravitational potential energy
gravitational P.E = mgh
where m = mass
g = acceleration due to gravity on earth = 9.81 m/s²
h = height
GPE' = new gravitational P.E
mgh' / mgh = GPE' / GPE
mg500/mg100 = GPE' / GPE
cancelling mg
500/100 = GPE' / GPE
5 = GPE' / GPE
GPE' = 5GPE
