Question

A crane lifts a cargo box 10 m off the ground. If the crane lifts the cargo box twice as high, the potential energy will increase by

Answer 1

The answer is two Times

Step-by-step explanation:

Answer 2

Twice

Step-by-step explanation:

Potential energy is directly proportional to the mass of the object, height and acceleration of gravity, given by the general expression
`E_p = mgh`, where m is mass, g is acceleration of gravity and h is height.

Assume that initially
`E_(p_1) = mgh_1`. The mass of this object, as well as the acceleration of gravity, don't change. The only variable that changes is height, so the final potential energy would be
`E_(p_2) = mgh_2`.

We know that
`h_2 = 2h_1`, so we will find the ratio of the two potential energy values:

`(E_(p_2))/(E_(p_1)) = (mgh_2)/(mgh_1) = (h_2)/(h_1) = 2`

Therefore, since height increases twice, the potential energy also increases twice.