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AP EAMCET202419 May 2024Evening ShiftPhysicsLaws of MotionActual

A block of mass 18.5 kg kept on a smooth horizontal surface is pulled by a rope of 3 m length by a horizontal force of 40 N applied to the other end of the rope. If the linear density of the rope is 0.5 kgm ⁻¹ and initially the block is at rest. The time in which the block moves a distance of 9 m is

Options

  1. A3s
  2. B5s
  3. C7s
  4. D9s

Correct answer

A. 3s

Step-by-step solution

M =18.5 ~kg , ~F =40 ~N =0.5 ~kg ~m ⁻¹ Acceleration of the block-rope system is a= F M+ 3 = 40 18.5+0.5 3 =2 ~ms ⁻² Time to travel the block through distance S is t= 2 s a = 2 9 2 =3 ~s

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