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JEE Main 202313 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
13 April
Shift
Evening Shift
Subject
Physics
Chapter
Motion in Two Dimensions

JEE Main 2023 · 13 April · Evening Shift · Physics · Motion in Two Dimensions

A vehicle of mass 200kg is moving along a levelled curved road of...

A vehicle of mass 200kg200kg is moving along a levelled curved road of radius 70m70m with angular velocity of 0.2rads−10 . 2rad{s}^{- 1}. The centripetal force acting on the vehicle is:

Options

  1. A560N560N
  2. B2800N2800N
  3. C2240N2240N
  4. D14N14N

Correct answer

A. 560N560N

Step-by-step solution

The centripetal force is given by

F=Mv2R=MRω2F = \dfrac{M{v}^{2}}{R} = MR{\omega}^{2}

The given data is

M=200kgR=70mω=0.2rads−1M = 200kgR = 70m\omega = 0 . 2rad{s}^{- 1}

The magnitude of the force is

F=200×70×0.22NF = 200 \times 70 \times 0 . {2}^{2}N

⇒F=560N⇒ F = 560N

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