Answered: steel block of mass m is given a push…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 20.76AP

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A steel block of mass m is given a push so that it initially slides along a horizontal, steel track of mass M with speed v_0. The block and the track have the same specific heat c. After the initial push, the only forces acting on the block are its weight, a normal force from the track, and friction with the track (coefficient of kinetic friction μ_k). The block travels some distance before coming to rest. Both the block and the track are initially at a temperature T_0 and both end up at a temperature T_1 after the block has come to rest. You may assume that no heat leaves the block + track system and the the only source of heat to increase the temperatures is mechanical energy dissipated by friction. Which of the following changes to the given values would lead to the biggest increase in T_1, assuming all other parameters are left unchanged? (You may ignore any effects of thermal expansion.) a. increase v_0 by 20% b. increase μ_k by 50% c. increase both m and M by 15% d. increase c by 20% e. decrease both m and M by 50%

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