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JIPMER 2016
Exam
JIPMER
Year
2016
Subject
Physics
Chapter
Laws of Motion

JIPMER 2016 · Physics · Laws of Motion

A body is moving along a rough horizontal surface with an initial...

A body is moving along a rough horizontal surface with an initial velocity of 10 ms−110 \mathrm{~ms}^{-1}. If the body comes to rest after travelling a distance of 12 m , then the coefficient of sliding friction will be

Options

  1. A0.5
  2. B0.2
  3. C0.4
  4. D0.6

Correct answer

C. 0.4

Step-by-step solution

Given, u=10 ms−1,s=12 m,v=0u=10 \mathrm{~ms}^{-1}, s=12 \mathrm{~m}, v=0 By third equation of motion, v2=u2−2as0=(10)2−2×a×1224a=100a=4.17 ms−2\begin{aligned} v^2 & =u^2-2 a s \\ 0 & =(10)^2-2 \times a \times 12 \\ 24 a & =100 \\ a & =4.17 \mathrm{~ms}^{-2}\end{aligned} Coefficient of sliding friction is given by μ=ag=4.1710=0.41\mu=\frac{a}{g}=\frac{4.17}{10}=0.41
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