an 85 kg construction worker has 37,485 j of gravitational potential energy. to the nearest whole number…
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.
Answer
Explanation:
Step1: Recall potential - energy formula
The formula for gravitational potential energy is $U = mgh$, where $U$ is the gravitational potential energy, $m$ is the mass, $g$ is the acceleration due to gravity ($g=9.8\ m/s^{2}$), and $h$ is the height above the ground. We need to solve for $h$.
Step2: Rearrange the formula for $h$
From $U = mgh$, we can get $h=\frac{U}{mg}$.
Step3: Substitute the given values
We know that $U = 37485\ J$, $m = 85\ kg$, and $g = 9.8\ m/s^{2}$. Substitute these values into the formula: $h=\frac{37485}{85\times9.8}$. First, calculate $85\times9.8 = 833$. Then, $h=\frac{37485}{833}=45$.
Answer:
45