Exam1-Solutions-S14

# 0 m at 0 b 30 m at 60 c 90 m at 135 d 60 m at 240

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Unformatted text preview: − b = 3ˆ + ˆ − ˆ + 3ˆ = 2 ˆ − 2 ˆ ij i j i j !! 2 2 a−b = 2 +2 = 2 2 ( )( ) PHY 2048 Spring 2014 – Acosta, Rinzler Exam 1 solutions Problem 3 Four vectors are expressed in terms of a magnitude and an angle measured counter- clockwise from the x- axis: A: 6.0 m at 0° B: 3.0 m at 60° C: 9.0 m at 135° D: 6.0 m at 240° What is the x- component (or y- component) of the sum of these four vectors? (1) 3.8m (2) - 1.9m (3) 16.9m (4) 6.2m (5) - 9.0m Separately compute the x and y components of each vector: Ax = 6 cos 0 = 6 Bx = 3 cos 60! = 1.5 C x = 9 cos135! = −6.36 Dx = 6 cos 240! = −3 Sum = −1.86 Ay = 6 sin 0 = 0 By = 3 sin 60! = 2.6 C y = 9 sin 135! = 6.36 Dy = 6 sin 240! = −5.2 Sum = 3.76 Problem 4 Antarctica is roughly semicircular, with a radius of 2000 km. In a particular year the new snow that falls on the continent has an average thickness of T = 5.0 cm (or 10cm, or 15cm) (see figu...
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## This document was uploaded on 03/24/2014.

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