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Examination of work done by a pulley system

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Please help with the following problem. Provide step by step calculations.

An Atwood machine consists of masses of 1.9 Kg and 1.995 Kg hanging from opposite sides of a pulley.

As the system accelerates 3.3 meters from rest, how much work is done by gravity on the system?
Assuming no friction or other dissipative forces, use the definition of KE to determine the velocity of the system after having moved through the 3.3 meters, assuming that the system was released from rest.

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Solution Summary

An Atwood Machine consisting of two masses hanging on opposite ends of a pulley is described in this solution. This solution helps calculate the amount of work done to a pulley system and the velocity of the system. Step by step calculations are given.

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Problem: As the system accelerates 3.3 meters from rest, how much work is done by gravity on the system?
Assuming no friction or other dissipative forces, use the definition of KE to determine the velocity of the system after having moved through the 3.3 meters, assuming ...

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