Question

an 85 kg construction worker has 37,485 j of gravitational potential energy. to the nearest whole number, the worker is m above the ground.

Explanation:

Step1: Recall potential - energy formula

$U = mgh$ (where $U$ is gravitational potential energy, $m$ is mass, $g$ is acceleration due to gravity, and $h$ is height). The acceleration due to gravity $g\approx9.8\ m/s^{2}$, $m = 85\ kg$ and $U=37485\ J$.

Step2: Solve for height $h$

$h=\frac{U}{mg}$. Substitute $U = 37485\ J$, $m = 85\ kg$ and $g = 9.8\ m/s^{2}$ into the formula: $h=\frac{37485}{85\times9.8}=\frac{37485}{833}\approx45\ m$.

Answer:

45