a skier with a potential energy of 137,200 j waits on top of a ski jump that is 200 m high. what is the mass…

Explanation:

Step1: Recall potential - energy formula

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

Step2: Rearrange the formula for mass

We can rewrite the formula $U = mgh$ to solve for $m$ as $m=\frac{U}{gh}$.

Step3: Substitute the given values

Given $U = 137200\ J$, $g = 9.8\ m/s^{2}$, and $h = 200\ m$. Then $m=\frac{137200}{9.8\times200}$. First, calculate $9.8\times200 = 1960$. Then, $m=\frac{137200}{1960}=70\ kg$.

Answer:

70 kg