Make u the subject of formula E frac m 2g v2 - ... - WAEC Mathematics 2014 Question
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 = \(\sqrt{\frac{2v^2Eg}{m}}\)
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Correct Option: 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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