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JEE Main20236 Apr 2023Evening ShiftPhysicsMotion in Two DimensionsActual

A child of mass 5 kg is going round a merry-go-round that makes 1 rotation in 3 . 14 s . The radius of the merry-go-round is 2 m . The centrifugal force on the child will be

Options

  1. A80   N
  2. B40   N
  3. C100   N
  4. D50   N

Correct answer

B. 40   N

Step-by-step solution

The angular speed ω of the child can be calculated as follows: ω = 2 π 3 . 14 = 2   rad   s - 1 The formula to calculate the centrifugal force on the child is given by F r = m ω 2 r       . . . ( 1 ) Substitute the values of the known parameters into equation (1) to calculate the required centrifugal force. F r = 5   kg × 2   rad   s - 1 2 × 2   m = 40   N

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