A frictionless pulley has the shape of a uniform solid disk of mass 5.00 kg and a radius of 10.0 cm. A 3.70 kg stone is attached to a very light wire that is wrapped around the rim of the pulley(Figure 1), and the stone is released from rest. As it falls down, the wire unwinds without stretching or slipping, causing the pulley to rotate. How far must the stone fall so that the pulley has 5.20 J of kinetic energy?
A frictionless pulley has the shape of a uniform solid disk of mass 5.00 kg and a radius of 10.0 cm. A 3.70 kg stone is attached to a very light wire that is wrapped around the rim of the pulley(Figure 1), and the stone is released from rest. As it falls down, the wire unwinds without stretching or slipping, causing the pulley to rotate. How far must the stone fall so that the pulley has 5.20 J of kinetic energy?
To see if your results are reasonable, you can compare the final velocity of the stone as it falls down unwinding the wire from the pulley to the velocity the stone would have if falling the same distance while unconnected to the pulley. What is the velocity of an untethered stone after falling 0.355 mm from rest.
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