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Homework-2-calm-Sol

# Homework-2-calm-Sol - Homework 2 Solution Components 3-4...

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Homework 2- Solution Components 3-4, 3-13 Adding subtracting 3-20 Unit vectors 3-21 Position, displacement, velocity, acceleration 3-33, 3-34, 3-36, Relative motion 3-43, 3-58 3-4. Find the x and y components of a position vector, G r , of magnitude (r=75m )if its angle relative to the x axis is (a) t h1=35.0° and (b) th2= 85.0° . sol3-4.(a) cos (75 m)cos35.0 61 m x rr θ == ° = sin (75 m)sin35.0 43 m y ° = (b) (75 m)cos85.0 6.5 m x r = (75 m)sin85.0 75 m y r = 3-13•• A whale comes to the surface to breathe and then dives at an angle of ( th=20.0° )below the horizontal. If the whale continues in a straight line for 150 m, (a) how deep is it, and (b) how far has it traveled horizontally? Sol 3-13. y = depth of whale x = distance traveled horizontally (a) sin (150 m)sin(20.0 ) 51 m deep yr ° = (b) cos (150 m)cos(20.0 ) 140 m xr ° = 20. •• A basketball player runs down the court, following the path indicated by the vectors G G G AB C ,, and in Figure 3–35. The magnitudes of these three vectors are: A= (10.0) m, B= (20.0)m, and C= (7.0)m Find the magnitude and direction of the net displacement of the player using the component method of vector addition.

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Solution 3-20 ˆˆ [0 (20.0 m)cos45 (7.0 m)cos( 30 )] [( 10.0 m) (20.0 m)sin 45 (7.0 m)sin( 30 )] (20 m) (0.60 m) ++= + ° + −° +− + ° + −° =+ ABC x y xy GG G 22 1 (20 m) (0.60 m) 20 m 0.60 m tan 20 m 1.7 θ ++ = + = = G 3-21.
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Homework-2-calm-Sol - Homework 2 Solution Components 3-4...

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