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HW_2_Solutions_S06

# HW_2_Solutions_S06 - Physics 112 HW#2 Solutions 1-47[Vector...

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Physics 112 - HW #2 Solutions Spring 2006 1-47 [Vector Components] (d) (a) | A |= (4.00) 2 + (3.00) 2 = 5.00 | B |= (5.00) 2 + (2.00) 2 = 5.39 (b) A - B = -1.00 i + 5.00 j (c) | A - B |= (1.00) 2 + (5.00) 2 = 5.10 1-51 [Dot Product & Angles] (a) A B =(4.00 × 5.00+3.00 × (-2.00))=14.0 (b) A B =| A || B |cos( θ ) cos θ = A B | A || B | = 14.0 (5.00) (5.39) = 0.519 θ = 59° - 1 -

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1.66 [Vector Addition] ( ) ( ) 344 . 0 km 311.5 km 2 . 107 tan km 330 km 2 . 107 km 5 . 311 km 2 . 107 48 sin km) 230 ( 68 cos km) 170 ( km 5 . 311 48 cos km) 230 ( 68 sin km) 170 ( 2 2 2 2 = = = = + = + = = = + = = + = + = x y R y x y y y x x x R R θ R R R B A R B A R D D D D east of south 19 D = R θ 2.19 [Motion Diagrams] - 2 -
b) 2.35: a) b) From the graph (Fig. (2.35)), the curves for A and B intersect at t = 1 s and t = 3 s. c) d) From Fig. (2.35), the graphs have the same slope at t = 2 s . e) Car A passes car B when they have the same position and the slope of curve A is greater than that of curve B in Fig. (2.30); this is at t = 3 s. f) Car B passes car A when they have the same position and the slope of curve B is greater than that of curve A ; this is at t = 1 s. - 3 -

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