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JEE Main 202331 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
31 January
Shift
Evening Shift
Subject
Physics
Chapter
Laws of Motion

JEE Main 2023 · 31 January · Evening Shift · Physics · Laws of Motion

A body of mass 10kg is moving with an initial speed of 20m s ^ - 1...

A body of mass 10kg10kg is moving with an initial speed of 20ms−120m{s}^{- 1}. The body stops after 5s5s due to friction between body and the floor. The value of the coefficient of friction is: (Take acceleration due to gravity g=10ms−2g = 10m{s}^{- 2})

Options

  1. A0.20 . 2
  2. B0.30 . 3
  3. C0.50 . 5
  4. D0.40 . 4

Correct answer

D. 0.40 . 4

Step-by-step solution

Friction force wil act opposite to the motion of the body.

F=\muN=\mumgF = \muN = \mumg

⇒a=−\mug(-ve sign for direction relative to the motion of body)⇒ a = - \mug\left(\text{-ve sign for direction relative to the motion of body}\right)

Now, applying equation of motion, we get

v=u+atv = u + at

⇒0=20+(−μ×10)×5⇒ 0 = 20 + \left(- \mu \times 10\right) \times 5

⇒50μ=20⇒ 50\mu = 20

⇒μ=0.4⇒ \mu = 0 . 4

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