the table shows information about four objects resting at the top of a hill. four objects at rest on a hill…

Explanation:

Step1: Recall potential - energy formula

The gravitational potential - energy formula is $PE = mgh$, where $PE$ is potential energy, $m$ is mass, $g$ is the acceleration due to gravity ($g = 9.8\ m/s^{2}$), and $h$ is height. We can solve for $h$: $h=\frac{PE}{mg}$.

Step2: Calculate height for object W

For object W, $m = 50\ kg$ and $PE = 980\ J$. Then $h_W=\frac{980}{50\times9.8}=\frac{980}{490}=2\ m$.

Step3: Calculate height for object X

For object X, $m = 35\ kg$ and $PE = 980\ J$. Then $h_X=\frac{980}{35\times9.8}=\frac{980}{343}\approx2.86\ m$.

Step4: Calculate height for object Y

For object Y, $m = 62\ kg$ and $PE = 1029\ J$. Then $h_Y=\frac{1029}{62\times9.8}=\frac{1029}{607.6}\approx1.7\ m$.

Step5: Calculate height for object Z

For object Z, $m = 24\ kg$ and $PE = 1176\ J$. Then $h_Z=\frac{1176}{24\times9.8}=\frac{1176}{235.2}=5\ m$.

Answer:

Z