Rearrange and make h the subject:
𝐺
𝑃
𝐸
=
𝑚
𝑔
ℎ

Question

Rearrange and make h the subject: 
𝐺
𝑃
𝐸
=
𝑚
𝑔
ℎ

BlackTom AI · Accepted Answer

The given equation is G P E = m g h, where h is the subject we want to solve for. To isolate h, we need to undo the multiplication by m and g on the right-hand side.

First, think of h being multiplied by m g on the right side: (m g) h = G P E. To solve for h, divide both sides by m g. This gives h = (G P E) / (m g).

So the expression for h is the quantity on the right side divided by the product m g.

If you consider dimensional analysis, h has dimensions of length, and indeed the numerator G P E must carry those same length dimensions when divided by m g, assuming GPE represents a quantity with the appropriate units (potential energy in contexts where G is a constant carrying the necessary units).

Note on the provided data: there are no explicit multiple-choice options listed to compare against, but the correct rearranged form is h = (G P E) / (m g). If any option presented matches that structure, it would be the correct choice.

In summary, by dividing both sides of the original equation by m g, you correctly isolate h as h = G P E / (m g).

Rearrange and make h the subject: 𝐺 𝑃 𝐸 = 𝑚 𝑔 ℎSingle choice

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