A 0.455 kg cart is allowed to roll smoothly (w/out friction) on a track. At the end of the track is a pulley. A 0.75 kg mass hangs over the pulley by a string tied to the cart. The hanging mass is initially 0.33 m above the floor. The pulley is a solid disk with a mass of 0.25 kg and a radius of 0.025 m. The system is released from rest. How fast is the cart moving when the hanging mass reaches the floor?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 83P: A solid sphere of mass m and radius r rolls without slipping along the track shown in Figure P10.83....
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A 0.455 kg cart is allowed to roll smoothly (w/out friction) on a track. At the end of the track is a pulley. A 0.75 kg mass hangs over the pulley by a string tied to the cart. The hanging mass is initially 0.33 m above the floor. The pulley is a solid disk with a mass of 0.25 kg and a radius of 0.025 m.
The system is released from rest. How fast is the cart moving when the hanging mass reaches
the floor? Assume the track is long enough that the cart remains on the track without running into the pulley.

Starting from p1=p2

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