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UTHW10 - xu(xx638 Homework#10 nevils(77401 This print-out...

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xu (xx638) – Homework #10 – nevils – (77401) 1 This print-out should have 21 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A 2 . 8 kg block is pushed 1 . 34 m up a vertical wall with constant speed by a constant force of magnitude F applied at an angle of 60 . 4 with the horizontal. The acceleration of gravity is 9 . 8 m / s 2 . 2 . 8 kg F 60 . 4 If the coefficient of kinetic friction between the block and wall is 0 . 561, find the work done by F . Answer in units of J. 002 (part 1 of 2) 10.0 points A frictionless roller coaster is given an ini- tial velocity of v 0 at height h = 21 m . The radius of curvature of the track at point A is R = 31 m. The acceleration of gravity is 9 . 8 m / s 2 . R 2 3 h h h v 0 A B Find the maximum value of v 0 so that the roller coaster stays on the track at A solely because of gravity. Answer in units of m / s. 003 (part 2 of 2) 10.0 points Using the value of v 0 calculated in question 1, determine the value of h that is necessary if the roller coaster just makes it to point B. Answer in units of m. 004 10.0 points A particle of mass m moves along the x axis. Its position varies with time according to x = (8 m / s 3 ) t 3 + ( - 7 m / s 2 ) t 2 . What is the power delivered to the particle at any time t ? 1. P = 144 m t bracketleftBig (8 m / s 6 ) t 2 +( - 6 m / s 5 ) t + (1 m / s 4 ) bracketrightBig 2. P = 2 m t bracketleftBig (81 m / s 6 ) t 2 +( - 189 m / s 5 ) t + (98 m / s 4 ) bracketrightBig 3. P = 2 m t bracketleftBig (81 m / s 6 ) t 2 +( - 216 m / s 5 ) t + (128 m / s 4 ) bracketrightBig 4. P = 2 m t bracketleftBig (729 m / s 6 ) t 2 +( - 405 m / s 5 ) t + (50 m / s 4 ) bracketrightBig 5. P = 32 m t bracketleftBig (9 m / s 6 ) t 2 +( - 9 m / s 5 ) t + (2 m / s 4 ) bracketrightBig 6. P = 2 m t bracketleftBig (225 m / s 6 ) t 2 +( - 90 m / s 5 ) t + (8 m / s 4
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