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Make u the subject of formula, E = $\frac{m}{2g}$ (v^2<...

Make u the subject of formula, E = $\frac{m}{2g}$ (v² - u²)

A.

u = $\sqrt{v^2 - \frac{2Eg}{m}}$

B.

u = $\sqrt{\frac{v^2}{m} - \frac{2Eg}{4}}$

C.

u = $\sqrt{v- \frac{2Eg}{m}}$

D.

u = $\sqrt{\frac{2v^2Eg}{m}}$

View answer & explanation

Correct answer is A

E = $\frac{m}{2g}$ (v² - u²)

multiply both sides by 2g

2Eg = 2g ( $\frac{M}{2g} (V^2 - U^2)$

2Eg = m(V² - U²)

2Eg - mV² - mU²

mU² = mV² - 2Eg

divide both sides by m

$\frac{mU^2}{m} = \frac{mV^2 - 2Eg}{m}$

U² = $\frac{mV^2 - 2Eg}{m}$

= $\frac{mV^2}{m} - \frac{2Eg}{m}$

U² = V² - $\frac{2Eg}{m}$

U = $\sqrt{V^2 - \frac{2Eg}{m}}$

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