a ball has 116.62 j of gravitational potential energy at a height of 85 m. what is the mass of the…

Explanation:

Step1: Recall potential - energy formula

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

Step2: Rearrange the formula for mass

Rearranging $U = mgh$ for $m$ gives $m=\frac{U}{gh}$.

Step3: Substitute the given values

We know that $U = 116.62\ J$, $g = 9.8\ m/s^{2}$, and $h = 85\ m$. Substituting these values into the formula: $m=\frac{116.62}{9.8\times85}$. First, calculate the denominator: $9.8\times85 = 833$. Then, calculate the mass: $m=\frac{116.62}{833}=0.14\ kg$.

Answer:

0.14 kg