Rearrange and make h the subject: GPE=mgh

Question

Rearrange and make h the subject: GPE=mgh

BlackTom AI · Accepted Answer

To solve for h in the equation GPE = m g h, we need to isolate h by dividing both sides by m g. This gives h = GPE / (m g).

Option 1: '√
GPE

mg' includes a square root symbol and an implied division that does not yield h = GPE/(mg). This is not the correct algebraic rearrangement.

Option 2: 'GPEmg' combines GPE, m, and g without any division or clear separation into a ratio. It does not represent h = GPE/(mg). This option misplaces the relationship between the quantities.

Option 3: 'GPE

mg' appears to place GPE above mg, separated by line breaks, which can be interpreted as a division (GPE divided by mg). This aligns with h = GPE/(mg) after rearrangement, making it the correct structural form among the choices.

Option 4: 'mg

GPE' puts mg above GPE, implying mg divided by GPE, which corresponds to h = mg/GPE if read as a fraction in the opposite order. That contradicts the correct rearrangement h = GPE/(mg).

In summary, the valid rearrangement for the subject h is h = GPE/(mg), and among the options, the one that best matches that division form is Option 3.

FFP001 Threshold Quiz 2 | LA007

Rearrange and make h the subject: GPE=mgh

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