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quest 5 - truong(ajt2287 HW#5 Work-Energy...

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truong (ajt2287) – HW#5 Work-Energy – hester – (WVPHYSICSC2011) 1 This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points Five ramps lead from the ground to the second floor of a workshop, as sketched below. All five ramps have the same height; ramps B, C, D and E have the same length; ramp A is longer than the other four. You need to push a heavy cart up to the second floor and you may choose any one of the five ramps. A B C D E Assuming no frictional forces on the cart, which ramp would require you to do the least work? 1. Ramp B. 2. Same work for ramps B, C, D or E; more work for ramp A. 3. Same work for the straight ramps A and B; less work for ramps C, D, and E. 4. Unable to determine without knowing the exact profiles of ramps C, D or E. 5. Ramp C. 6. Ramp D. 7. Ramp E. 8. Ramp A. 9. Same work for all five ramps. 002 10.0points A particle of mass m moves along the x axis. Its position varies with time according to x = (2 m / s 3 ) t 3 + ( - 2 m / s 2 ) t 2 . What is the work done by the force from t = 0 to t = t 1 ? 1. W = 2 m t 2 1 bracketleftBig (144 m / s 6 ) t 2 1 +( - 120 m / s 5 ) t 1 + (25 m / s 4 ) bracketrightBig 2. W = 81 2 m t 2 1 bracketleftBig (9 m / s 6 ) t 2 1 +( - 12 m / s 5 ) t 1 + (4 m / s 4 ) bracketrightBig 3. W = 2 m t 2 1 bracketleftBig (9 m / s 6 ) t 2 1 +( - 42 m / s 5 ) t 1 + (49 m / s 4 ) bracketrightBig 4. W = 1 2 m t 2 1 bracketleftBig (225 m / s 6 ) t 2 1 +( - 480 m / s 5 ) t 1 + (256 m / s 4 ) bracketrightBig 5. W = 81 2 m t 2 1 bracketleftBig (1 m / s 6 ) t 2 1 +( - 4 m / s 5 ) t 1 + (4 m / s 4 ) bracketrightBig 6. W = 2 m t 2 1 bracketleftBig (9 m / s 6 ) t 2 1 +( - 12 m / s 5 ) t 1 + (4 m / s 4 ) bracketrightBig 7. W = 8 m t 2 1 bracketleftBig (9 m / s 6 ) t 2 1 +( - 24 m / s 5 ) t 1 + (16 m / s 4 ) bracketrightBig 8. W = 1 2 m t 2 1 bracketleftBig (81 m / s 6 ) t 2 1 +( - 252 m / s 5 ) t 1 + (196 m / s 4 ) bracketrightBig 9. W = 25 2 m t 2 1 bracketleftBig (9 m / s 6 ) t 2 1 +( - 12 m / s 5 ) t 1 + (4 m / s 4 ) bracketrightBig 10. W = 8 m t 2 1 bracketleftBig (9 m / s 6 ) t 2 1 +( - 12 m / s 5 ) t 1 + (4 m / s 4 ) bracketrightBig 003(part1of2)10.0points Given: A block is pulled at a constant speed along a horizontal surface by a rope with ten- sion F T . The rope is inclined at an angle from
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