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NEET
Exam
NEET
Subject
Physics
Chapter
Laws of Motion

NEET · Physics · Laws of Motion

A car begins from rest at time t=0 , and then accelerates along a...

A car begins from rest at time t=0t=0, and then accelerates along a straight track during the interval (0 \lt t \leq 2  s\mathrm{~s}) and thereafter with constant velocity as shown in the graph. A coin is initially at rest on the floor of the car. At (t=1  s\mathrm{~s}), the coin begins to slip and its stops slipping at (t=3  s\mathrm{~s}). The coefficient of static friction between the floor and the coin is (\left(g=10g=10\mathrm{~m}//\mathrm{s}^$2\right))A car begins from rest at time t=0 , and then accelerates along a straight track during the interval (0 t ≤ 2 ~s ) and

Options

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

Correct answer

C. 0.4

Step-by-step solution

- From the graph, for (0 \leq t \leq 2 s, v=2 t^{2} \Rightarrow a=d v / d t=4 t). - The coin begins to slip at (t=1  s\mathrm{~s}), so limiting static friction provides the needed acceleration then: (a(\mathrm{a}(1)=4  m\mathrm{~m}/ \mathrms^{2}=\mu sg⇒μs=\mathrm{s} \mathrm{g} \Rightarrow \mu \mathrm{s}=4 / 10=0.4).
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