A system of two paint buckets connected by a lightweight

Chapter 7, Problem 7.55

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QUESTION:

A system of two paint buckets connected by a lightweight rope is released from rest with the 12.0-kg bucket 2.00 m above the floor (Fig. P7.55). Use the principle of conservation of energy to find the speed with which this bucket strikes the floor. You can ignore friction and the mass of the pulley

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QUESTION:

A system of two paint buckets connected by a lightweight rope is released from rest with the 12.0-kg bucket 2.00 m above the floor (Fig. P7.55). Use the principle of conservation of energy to find the speed with which this bucket strikes the floor. You can ignore friction and the mass of the pulley

ANSWER:

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The potential energy lost by mass  is given by,

                                                                 

Here  is the mass,  is the acceleration due to gravity and  is the height.

The potential energy gained by mass  is given by,

                                                                 

Here  is the mass,  is the acceleration due to gravity and  is the height.

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