Los Altos High School Physics Honors Chapter 6 - Work and Energy Work Energy Theorem Conservation of Energy Energy before Energy nc Energy after WNet KE W F S FSCos FS KE 1 mv 2 2 PE mgh Mr. Randall Spring Semester 05-06 www.LAPhysics.com [email protected] Chapter 6 - Work and Energy Assignments Due Dates 1. #'s 3, 5, 7, 9, 10, 12 2. #'s 13, 14, 15, 22, 23, 25 3. #'s 27, 31, 33, 34 + (W+B)k #’s 1, 2, 3 4. #'s 35, 36, 37, 39, 42, 43, 44, 47 5. #'s 48. 50. 55. 57. 58 + (W+B)k #’s 4,5,6 6. #'s 59, 61, 73, 77, 82, 84, 85 + (W+B)k # 7 Quiz - 12/1/06 & 12/8/06 Unit Test – 12/15/06 Reading All of chapter 6 Solve the example problems within each section. Los Altos Physics Honors 0. Consider a 85.0 kg clown sitting at the top of a frictionless slide, 22.0 m above the ground. The bottom of the slide makes a slight circular turn and extends horizontally 6.0 m. The lower end of the slide is 10.0 m above the ground. Calculate the range of the clown as measured from the lower edge of the slide. ho = 22.0 m hf = 10.0 m ΔX 1. Consider two circus performers connected by a massless cord passing over two frictionless pulleys. Performer 1 (30 kg) hangs, ready to swing like a pendulum, suspended 12 m below the fulcrum. Performer 2 (60 kg) sits at rest on a spring scale. A. Sketch a graph of Performer 2’s apparent weight as a function of time (n vs. t) as Performer 1 pendulum swings through small angles. B. Predict the height and angle (hc, c) at which Performer 1 swings from such that Performer 2 achieves weightlessness. r c Force Scale h 2. Consider a 65 kg circus performer at rest, 28.0 m above the ground. The only path to the ground is a frictionless curved ramp. Predict the circus performer’s range once it becomes a freefalling projectile. = 25. 28 m 3.0m 3. Consider a 65 kg circus performer performing the vertical loop trick. sliding from rest down a frictionless track, the performer centripetally accelerates around a vertical circle, r = 4.5 m. A. Predict the minimum height the performer must start at to safely make the loop? B. Is the ratio of the speed at the top of the loop to the speed at the bottom of the loop is equal to: Vtop VBottom 5 ? 5 ho r 4. Consider a 65 kg circus performer 28.0 m above the ground. The only path to the ground is a rough curved ramp. During the slide down the ramp 7.6 kJ of energy is lost due to work done by friction, a non-conservative force. Calculate the circus performer’s range once it becomes a freefalling projectile. = 25. 28 m 3m 5. Consider a 65 kg circus performer performing the vertical loop trick. sliding from 2 rest down a rough k = “linear” track inclined at = 45 the performer 2 centripetally accelerates around a vertical circle, r = 4.5 m. A. Predict the minimum height the performer must start at to safely make the loop? B. Is the ratio of the speed at the top of the loop to the ho speed at the bottom of the Vtop 2 loop is equal to: 5 ? VBottom r r 6. Consider a circus performer sliding down a frictionless incline, continuing across a rough horizontal floor then grabbing onto a cable and pendulum swinging through an exact right angle, 90. A. Predict the length of the horizontal slide from the bottom of the incline to the hanging cable. ho = 25 m k=0 r = 10 m 37 = k = 0.3 X = ? 7. Consider the launching mechanism of a toy gun consisting of an ideal spring. When the spring is compressed 0.120 m, the gun is able to launch a 0.035 kg projectile to a maximum height of 20.0 m when released vertically from rest. Neglect the effects of friction: A. Predict the spring constant. B. Predict the speed of the projectile as it moves through the equilibrium position of the spring. 8. Consider a gallon of chocolate milk with a mass of 0.80 kg sliding across a horizontal surface. The milk has an initial velocity of 1.2 m/s to the right just before it collides with an ideal spring, k = 50.0 N/m. A. Predict the maximum compression of the spring during the collision.
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