College Physics Loaptr x c Secure i https//www Responses Mast?depa15726322 Two g
ID: 1620825 • Letter: C
Question
College Physics Loaptr x c Secure i https//www Responses Mast?depa15726322 Two geological feld teams are working in a remote area. A as 27 away, of north, when the team uses as GPs todeck the position of the second team, what does the Gps give for the f a) the second team's distance from the first team 4127 km (b) the second team'ssrection from first team, measured relative to due Interactive Solution 1.55 presents the solution to a problem that is similar to this one. Vector A has a of 147 units and points 39o north of west, vector points eso east of neth vector Epeits 110 west south. These three vecters add to areuutat vedorthat is magnitude Using components, find the magnitudes of the following vectors, 14995 x units An ocean iner leaves New York aty and travels 27or north feast for 19 km How far east and h far north has gone trother "ard "hat are the agntude of the components of the ship's dsplaoemett vector in the following directions?Explanation / Answer
Considering east as positive x-axis and north as positive y-axis., we have, assuming the magnitude of vector B as b and that of vector C as c.
Total X component = -147*cos 39 +b*sin 69-c*sin11 = 0 -------------------------- (1), and
Total Y component = 147*sin 39 +b*cos69-c*cos11 = 0 ---------------------------- (2)
Rewriting 1 and 2 after substituting for trigonometric ratios
0.9336*b - 0.1908*c = 114.24 -------------------------- (3), and
0.3584*b - 0.9816*c = - 92.51 -------------------------- (4) or
b = -[92.51/(0.3584)] +[0.9816/(0.3584)]*c or
b = -258.12 + 2.74*c -------------- (5)
Substituting 5 in 3
0.9336*[-258.12 + 2.74*c] - 0.1908*c = 114.24
-240.98 + 2.558*c - 0.1908*c = 114.24
2.3672*c = 355.22
c = 150.06 units
and from (5),
b = -258.12 + 2.74*150.06
b = 153.04 units
(a) Vector B= 153.04 units
(b) Vector C =150.06 units