Make u the subject of formula, E = (frac{m}{2g})(v2 – u2)
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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}})
Correct Answer: Option A
Explanation
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}})