Three players on a reality TV show are brought to the center of a large, flat...
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Three players on a reality TV show are brought to the center of a large, flat field. Each is given a meter stick, a compass, a calculator, a shovel, and the following 3 displacements: A: 30 m, 42° east of north, B: 29 m, due west, C: 18 m, 12° east of south. The three displacements lead to the point in the field where the keys to a new Porsche are buried. Instead of taking the brown path, the winner smartly calculates the net displacement of all three vectors together (the vector R) and follows the blue path. 18 m '12° C y (north) R 42° 0 29 m B A 33 m x (east) For each calculation in the following questions, keep at least 2 decimal places for each value. A. The winner already calculated the components of A, namely Ax = +22.08 m, Ay = +24.52 m. Find the x- and y-components of B and C. B. The net displacement from the starting location to where the keys are buried is the vector sum R = A + B + C. Calculate the x-component Rx of this net displacement. C. Calculate the y-component Ry of the net displacement R. D. How far is the key from the starting location (that is, what is the magnitude of R)? Three players on a reality TV show are brought to the center of a large, flat field. Each is given a meter stick, a compass, a calculator, a shovel, and the following 3 displacements: A: 30 m, 42° east of north, B: 29 m, due west, C: 18 m, 12° east of south. The three displacements lead to the point in the field where the keys to a new Porsche are buried. Instead of taking the brown path, the winner smartly calculates the net displacement of all three vectors together (the vector R) and follows the blue path. 18 m '12° C y (north) R 42° 0 29 m B A 33 m x (east) For each calculation in the following questions, keep at least 2 decimal places for each value. A. The winner already calculated the components of A, namely Ax = +22.08 m, Ay = +24.52 m. Find the x- and y-components of B and C. B. The net displacement from the starting location to where the keys are buried is the vector sum R = A + B + C. Calculate the x-component Rx of this net displacement. C. Calculate the y-component Ry of the net displacement R. D. How far is the key from the starting location (that is, what is the magnitude of R)?
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Related Book For
University Physics with Modern Physics
ISBN: 978-0321696861
13th edition
Authors: Hugh D. Young, Roger A. Freedman, A. Lewis Ford
Posted Date:
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