Question

9 the formula for potential energy is $p = mgh$, where $p$ is potential energy, $m$ is mass, $g$ is gravity, and $h$ is height. which expression can be used to represent $g$?

1. $p - m - h$
2. $p - mh$
3. $\frac{p}{m} - h$
4. $\frac{p}{mh}$

Explanation:

Step1: Start with the formula \( P = mgh \)

We need to solve for \( g \).

Step2: Divide both sides by \( mh \)

To isolate \( g \), we divide each side of the equation \( P = mgh \) by \( mh \) (assuming \( m
eq 0 \) and \( h
eq 0 \)). So, \( \frac{P}{mh}=\frac{mgh}{mh} \).

Step3: Simplify the right - hand side

Simplifying \( \frac{mgh}{mh} \), the \( m \) and \( h \) terms cancel out, leaving us with \( g=\frac{P}{mh} \).

Answer:

1. \( \frac{P}{mh} \)