Lesson_4.3_Homework_Solution

Lesson_4.3_Homework_Solution - Lesson 17 Homework Solutions...

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Lesson 17 Homework Solutions 1. The figure shows two masses 27 kg and 32 kg connected by a spring that passes over a frictionless pulley of mass 5 kg and radius 0.4 m. The 27 kg is resting on the table top and the 32 kg is 1.2 m above the table top. If the system is released, use the conservation of energy to find the speed of the 32 kg mass just before touching the table. 1.2 m 32 kg 27 kg 0.4 m 5 kg We assume that the potential energy is zero at the table top. Initial potential energy of the 27-kg mass = 0 Initial potential energy of the 32-kg mass = 32 × 9.8 × 1.2 = 376.32 J Since the potential energy of the pulley does not change, we will ignore it. Since the initial kinetic energy of the system is zero, the total initial energy = 376.32 J When the 32-kg mass falls through 1.2 m, the 27-kg mass rises through 1.2 m. Just before the 32-kg reaches the table top, The potential energy of the 27kg = 27 × 9.8 × 1.2 = 317.52 J Potential energy of the 32-kg = 0 Kinetic energy of the 27-kg = (1/2)27 v 2 = 13.5 v 2 Kinetic energy of the 32-kg = 16v 2
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Lesson_4.3_Homework_Solution - Lesson 17 Homework Solutions...

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