question_answer

Two objects each of mass m are connected with a uniform rope having same mass m and length  \[\ell =10/3\] m are shown in the figure. The rope can slide on a frictionless pulley which is fixed to the edge of the table. Initially 1/3 of the rope hangs vertically. Friction is negligible everywhere. If the system is released from rest and object on the right hand side descend further by a distance of 1/3, what would be the speed of the object (in m/s)?

A) 2.12 m/s

B) 3.33 m/s

C) 0.33 m/s

D) 4.12 m/s

Correct Answer: B

Solution :

[b]                    initial          Final By using mechanical energy conservation \[v=\frac{10}{3}=3.33m/s\]