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Physics 1A Discussion Week 7 Due Wednesday 05/18/22 at 11:59pm on Gradescope Problem 1 Two blocks are attached to either end of a light rope that passes over a massless, frictionless pulley suspended from the ceiling. Block 1 has a mass of 8.00 kg and block 2 has mass 6.00 kg. The blocks are released from rest. a) For a 0.200 m downward displacement of the 8.00 kg block, what is the change in the gravitational potential energy associated with each block? b) If the tension in the rope is T, how much work is done on each block by the rope? c) (i) During the 0.200 m downward displacement, what is the total work done on the system by the tension in the rope? (ii) What is the change in gravitational potential energy associated with the system? (iii) Use conservation of energy to find the speed of the 8.00 kg block after it has descended 0.200 m. Problem 2 It takes a force of 5.00 N to stretch an ideal spring 2.00 cm. a) What force does it take to stretch the spring an additional 4.00 cm? b) By what factor does the stored elastic potential energy increase when the spring, originally stretched 2.00 cm, is stretched 4.00 cm more? Problem 3 While a roofer is working on a roof that slants at 36° above the horizontal, he accidentally nudges his 85.0 N toolbox, causing it to start sliding downward from rest. If it starts a horizontal distance of 4.25 m from the lower edge of the roof (see figure), how fast will the toolbox be moving just as it reaches the edge of the roof, if the kinetic friction force on it is 22.0 N? Problem 4 A basket of negligible weight hangs from a vertical spring with spring constant 1500 N/m. a) If you suddenly put a 3.0 kg brick in the basket, the spring will begin oscillating up and down. Find the maximum distance that the spring will stretch. b) If instead you release the brick from 1.0 m above the basket, by how much will the spring stretch at its maximum elongation? hint: use conservation of energy
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