Question

A car is raised on a lift at a service station (so it has some amount of gravitational potential energy relative to the ground). If it were raised twice as high, how much gravitational potential energy would it have compared with what it had at the first height?

Answer 1

Answer:Twice

Explanation:

It is given that car is raised on a lift with respect to ground.

Suppose car is raised by a height of h m from ground having mass m so gain in Potential Energy by car is

Gain in $P.E._1=m\times g\times h$

Now if it were raised twice as high,i.e. 2 h height from ground then gain in Gravitational Potential Energy

$=m\times g\times 2h$

$P.E._2=2m\cdot g\cdot h$

It is clear that $P.E._2=2\cdot P.E._1$

Thus in second case gain in Potential Energy is twice as compared to first case