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Unformatted text preview: kaplan (hmk378) Homework 08b Weathers (17104) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 2) 10.0 points A force vector F = F x + F y acts on a particle that undergoes a displacement of vectors = s x + s y where F x = 2 N, F y = 3 N, s x = 6 m, and s y = 3 m. Find the work done by the force on the particle. Correct answer: 3 J. Explanation: The work is given by W = vector F vectors = F x s x + F y s y = (2 N) (6 m) + ( 3 N) (3 m) = 3 J . 002 (part 2 of 2) 10.0 points Find the angle between vector F and vectors . Correct answer: 82 . 875 . Explanation: Since W = vector F vectors = vextendsingle vextendsingle vextendsingle vector F vextendsingle vextendsingle vextendsingle | vectors | cos = cos 1 W vextendsingle vextendsingle vextendsingle vector F vextendsingle vextendsingle vextendsingle | vectors | . vextendsingle vextendsingle vextendsingle vector F vextendsingle vextendsingle vextendsingle = radicalBig F 2 x + F 2 y = radicalBig (2 N) 2 + ( 3 N) 2 = 3 . 60555 N and | vectors | = radicalBig s 2 x + s 2 y = radicalbig 6 m 2 + 3 m 2 = 6 . 7082 m , so = cos 1 bracketleftbigg 3 J (3 . 60555 N) (6 . 7082 m) bracketrightbigg = 82 . 875 . 003 10.0 points A shopper in a supermarket pushes a cart with a force of 32 . 3 N directed at an angle of 23 . 7 downward from the horizontal. Find the work done by the shopper as she moves down a 51 . 6 m length of aisle....
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