Make g the subject of the formula: E = mv2/2 + mgh

June 3, 2026Physics

ScanSolve AI Answer

June 3, 2026

Answer

$g = \frac{2E - MV^2}{2mh}$

To make $g$ the subject of the formula $E = \frac{MV^2}{2} + mgh$ :

Step 1: Subtract $\frac{MV^2}{2}$ from both sides of the equation to isolate the term containing $g$ . $E - \frac{MV^2}{2} = mgh$

Step 2: To combine the terms on the left side, find a common denominator. $\frac{2E}{2} - \frac{MV^2}{2} = mgh$ $\frac{2E - MV^2}{2} = mgh$

Step 3: Divide both sides by $mh$ to solve for $g$ . $g = \frac{2E - MV^2}{2mh}$ $g = \frac{2E - MV^2{2mh}}$ That's 2 down. 3 left today — send the next one.

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Quick Answer

To make g the subject of the formula E = (MV^2)/(2) + mgh: Step 1: Subtract (MV^2)/(2) from both sides of the equation to isolate the term containing g.

Asked on June 3, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI AnswerAnswered on June 3, 2026

To make g the subject of the formula E = (MV^2)/(2) + mgh: Step 1: Subtract (MV^2)/(2) from both sides of the equation to isolate the term containing g. E - (MV^2)/(2) = mgh Step 2: To combine the terms on the left side, find a common denominator. (2E)/(2) - (MV^2)/(2) = mgh (2E - MV^2)/(2) = mgh Step 3: Divide both sides by mh to solve for g. g = (2E - MV^2)/(2mh) g = (2E - MV^2)/(2mh) That's 2 down. 3 left today — send the next one.