KVPY2014PhysicsWork, Power and Energy
A uniform thin rod of length 2 ~L and mass m lies on a horizontal table. A horizontal inpulse J is given to the rod at one end. There is no friction. The total K.E. of the rod just after the impulse will be :
Options
- AJ ² / 2 ~m
- BJ ² / m
- C2 ~J ² / m
- D6 ~J ² / m
Correct answer
C. 2 ~J ² / m
Step-by-step solution
J = mv J . L = M (2 ~L )² 12 ^ v = J / M Cm J . L= M L² 3 = 3 J M L ke = J ² 2 ~m + 3 ~J ² 2 ~m =2 ~J ² / m