AP EAMCET · PHYSICS · Work Power Energy
A body is moving up an inclined plane of angle \(\theta\) with an initial kinetic energy \(E\). The coefficient of friction between the plane and the body is \(u\). The work done against friction before the body comes to rest is
- A \(\frac{\mu \cos \theta}{E \cos \theta+\sin \theta}\)
- B \(E\)
- C \(\frac{\mu E \cos \theta}{\mu \cos \theta-\sin \theta}\)
- D \(\frac{\mu E \cos \theta}{\mu \cos \theta+\sin \theta}\)
Answer & Solution
Correct Answer
(B) \(E\)
Step-by-step Solution
Detailed explanation
Acceleration of a body up a rough inclined plane \(a=g(\mu \cos \theta+\sin \theta)\) From equation of motion \(\begin{aligned} v^2 & =u^2-2 a s \\ 0 & =u^2-2 a s \\ u^2 & =2 a s \end{aligned}\) Initial \(\mathrm{KE}, E=\frac{1}{2} m u^2\)…
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