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There are two weights of the same mass of 2.0 kg2.0 kg attached to a string...

There are two weights of the same mass of 2.0 kg2.0 kg attached to a string looped over a braked pulley.

The left weight is lying on the floor, the right one is suspended 1.0 m1.0 m above the floor.

There is another weight of mass 0.5 kg0.5 kg attached to the string 20 cm20 cm above the right weight.

The string except the part around the pulley is stretched vertically. We eventually release the pulley.

What is the speed at which the lower right weight hits the floor?

What is the height that the left weight rises to after the lower right weight falls inelastically to the floor?

What is the maximum height that the lower right weight rises back to?

Neglect the mass of both the string and the pulley, deformation of the string by tension, and friction.

Solve each part of the assignment in general first, then find the particular solution.

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