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AP EAMCET · PHYSICS · Motion In Two Dimensions

A particle of mass 5 kg is moving on a circle of radius 1m with an angular velocity of \(2 \mathrm{rads}^{-1}\). The centripetal force is

  1. A 10 N
  2. B 40 N
  3. C 30 N
  4. D 20 N
Verified Solution

Answer & Solution

Correct Answer

(D) 20 N

Step-by-step Solution

Detailed explanation

Given, mass, m = 5kg, radius, r = 1m Angular velocity, \(\omega=2 \mathrm{rad} \mathrm{s}^{-1}\) Centripetal force = Mass * Centripetal acceleration \(\begin{aligned} & =m \times \omega^2 r \\ & =5 \times(2)^2 \times 1 \\ & =20 \mathrm{~N}\end{aligned}\)