. The formula for potential energy isP = mgh
where P is potential energy, m is mass, g is
gravity, and h is the height. Rewrite the formula
in terms of gravity.

To rewrite the formula for potential energy \( P = mgh \) in terms of gravity \( g \), you need to solve for \( g \). Here's the process:

1. Start with the original equation:
   \[
   P = mgh
   \]

2. To solve for \( g \), divide both sides of the equation by \( mh \):
   \[
   g = \frac{P}{mh}
   \]

So, the formula for gravity \( g \) in terms of potential energy \( P \), mass \( m \), and height \( h \) is:
\[
g = \frac{P}{mh}
\]

Would you like more details or have any questions about this?  

Here are some related questions you might find helpful:

1. How does the value of \( g \) affect the potential energy \( P \)?
2. What units should \( P \), \( m \), and \( h \) be in for \( g \) to be in meters per second squared?
3. How would you calculate the potential energy of an object if the height is doubled?
4. If the mass of an object is halved, what happens to the potential energy?
5. What is the significance of the gravitational constant \( g \) on Earth?
6. How would you find the height \( h \) if you know the potential energy \( P \), mass \( m \), and gravity \( g \)?
7. Can you derive the formula for height \( h \) in terms of potential energy?
8. How does potential energy change with different planetary gravities?

**Tip:** Remember that the value of \( g \) on Earth is approximately \( 9.8 \, \text{m/s}^2 \), but it can vary slightly depending on altitude and latitude.

Learn how to rewrite the formula for potential energy P = mgh in terms of gravity g. This problem involves understanding the relationship between potential energy, mass, gravity, and height. Suitable for high school physics students.

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