Question

calculating potential energy
what is the potential energy of a 150 kg diver standing on a diving board that is 10 m high?
the potential energy is \boxed{} j.

Explanation:

Step1: Recall the formula for gravitational potential energy

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

Step2: Identify the given values

We are given $m = 150\ kg$, $h = 10\ m$, and $g = 9.8\ m/s^2$.

Step3: Substitute the values into the formula

Substitute $m = 150$, $g = 9.8$, and $h = 10$ into $PE = mgh$:
$$PE = 150\ kg\times9.8\ m/s^2\times10\ m$$

Step4: Calculate the result

First, multiply $150$ and $9.8$: $150\times9.8 = 1470$. Then multiply the result by $10$: $1470\times10 = 14700$.

Answer:

14700