Question

Two paths lead to the top of a big hill. One is steep and direct, while the other twice as long but less steep. How much more potential energy would you gain taking the longer path.A.The sameB.Twice as muchC.Half as muchD. You gain no PE in either case

Answer 1

Given:

There are two paths to the top of the hill.

One is steep and direct while the other is twice long but less steep.

To find the potential energy by taking the longer path.

Explanation:

Potential energy is

$P.E.\text{ =mgh}$

Here, m is the mass.

g is the acceleration due to gravity.

h is the height of the hill.

Thus, the same potential energy will be gained as the height of the hill is same.