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

Mathematics

WAEC 2014

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 = \(\sqrt{\frac{2v^2Eg}{m}}\)

WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now

WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now

Your School's Whatsapp Group - Join Us now

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 = \(\sqrt{V^2 - \frac{2Eg}{m}}\)

Previous Next

Go back to Maths classroom

Report an Error Ask A Question Download App