Question

I need to know how to solve this equation down to g on the other side

Answer 1

g = PE/mh

Explanation:

To get a variable "by itself" on one side, you need to "undo" everything that's acting on it.

What's acting on g here?

m?

h?

Correct, they're both multiplying g.

How do you "undo" multiplication? Division, of course.

So maybe first divide each side by m, which looks like this:

• PE = mgh
• m m

What happens to the m's on the right? They cancel out, of course, leaving just 'gh'. That's why we divided by m. The m stays on the left as a denominator, of course.

Now divide out the h:

• PE = gh
• mh h

The h's cancel, and after flipping it around we're left with:

g = PE/mh

See how "mh" moved from the top on the right to the bottom on the left? That's because of the division to "undo" them. After working out several of these you'll be able to just "see" it right away and write it in one step.

Good luck in your studies.