70_Physics ProblemsTechnical Physics

# 70_Physics ProblemsTechnical Physics - Chapter 3 P3.53(a R...

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Chapter 3 71 P3.53 (a) R x = 200 ., R y = 100 R z = 300 . (b) R =+ + = + += = RRR xyz 222 400 100 900 140 374 ... . . (c) cos cos . θθ x x x x RR x = = F H G I K J + 1 57 7 from cos cos . y y y y y = = F H G I K J + 1 74 5 from cos cos . z z z z z = = F H G I K J + 1 36 7 from *P3.54 Take the x -axis along the tail section of the snake. The displacement from tail to head is 240 420 240 180 105 180 75 287 m + m m m 174 m ± cos ± sin ±± ± ii j i j −° ° ° = a f a f . Its magnitude is 287 174 335 22 () + = m m . From v t = distance , the time for each child’s run is Inge: distance m h km s km m h s Olaf: ms 3.33 m s t v t == = = = 335 1 3 600 12 1 000 1 101 420 126 af a f bg . Inge wins by 126 101 25 4 = . s. *P3.55 The position vector from the ground under the controller of the first airplane is ri j k ij k 1 19 2 25 19 2
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