Consider again the crates in Problem 45, but now assume the rope has a mass of 2 kg. If the tops of the crates start at the same initial height and the rope has a length of 10 m, what is the final speed after the crates have moved a distance of 2.5 m?
(reference problem 45)
Two crates of mass and are connected by a massless rope that passes over a massless, frictionless pulley as shown in Figure P6.45. The crates start from rest. (a) Add a coordinate system to Figure P6.45. (b) What are the initial kinetic and potential energies of each crate? (c) If the crate on the left moves downward through a distance h, what is the change in the potential energy of Express your answers in terms of h. (d) What is the speed of the crates after they have moved a distance h = 2.5 m?
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