AP EAMCET · PHYSICS · Laws of Motion
A particle of mass ' \(m\) ' at rest on a rough horizontal surface with a coefficient of friction ' \(\mu\) ' is given a velocity ' \(u\) '. The average power impaired by friction before it stops
- A Zero
- B \(\frac{1}{2} \mu m g u\)
- C \(\mu m g u\)
- D \(2 \mu m g u\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{2} \mu m g u\)
Step-by-step Solution
Detailed explanation
Acceleration of block, \(\begin{aligned} & a=\frac{-f_r}{m}=\frac{-\mu m g}{m} \\ & \therefore \quad a=-\mu m \end{aligned}\) \(\therefore\) Time to stop, \(\mathrm{t}=\frac{\mathrm{u}}{-\mathrm{a}}=\frac{\mathrm{m}}{\mu \mathrm{g}}\) By work - energy theorem,…
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