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 half. the same amount. two times. four times.

Explanation:

Step1: Recall potential - energy formula

The gravitational potential energy formula is $U = mgh$, where $m$ is the mass, $g$ is the acceleration due to gravity, and $h$ is the height.

Step2: Analyze initial and new height

Let the initial height be $h_1$ and the new height be $h_2$. Given $h_2 = 2h_1$. The initial potential energy $U_1=mgh_1$, and the new potential energy $U_2 = mgh_2=mg(2h_1)=2mgh_1$.

Step3: Find the ratio of new to initial potential energy

$\frac{U_2}{U_1}=\frac{2mgh_1}{mgh_1}=2$.

Answer:

C. two times