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
- A4.50 ~J
- B7.50 ~J
- C5.06 ~J
- 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).