Engineering
Physics
Conservation of Energy
Question

Two objects each of mass m are connected with a uniform rope having same mass m and length ℓ = 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 13 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 13ℓ, what would be the speed of the object (in m/s) ?

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Solution

By using mechanical energy conservation v = 103 = 3.33 m/s