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JEE Advanced2010PhysicsWork, Power and EnergyActual

A block of mass 2 ~kg is free to move along the x -axis. It is at rest and from t=0 onwards it is subjected to a time-dependent force F(t) in the x direction. The force F(t) varies with t as shown in the figure. The kinetic energy of the block after 4.5 ~s is

Options

  1. A4.50 ~J
  2. B7.50 ~J
  3. C5.06 ~J
  4. D14.06 ~J

Correct answer

C. 5.06 ~J

Step-by-step solution

Area under F - t graph = momentum aligned &=P= 2 k m & k= A^2 2 m &(A= net area of F-t graph) &= ( 4 3 2 )- ( 1.5 2 2 ) ^2 2 2 =5.0625 ~J aligned The correct option is (c).

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