10 km/h at 120 degrees + 25 km/h 180 degrees

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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10 km/h at 120 degrees + 25 km/h 180 degrees

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amazonbasics
620 ku E(0)+ 440 kae sE (31s)
+ 550 kmm (233.) af 59'5 of w)
I cm = l00 Kum
%3D
670 km 0°
0/300*
440 315*
resultaut
550 kom
2330
Dey=DD,cose'=(G20 Xeos 0*)-(620X1): 620 kem
Diy= Di sia Ğ = (620)( ria es") = 620)(9) = Ø
(620)( ria f) = 6z0)(g) = Ø
%3D
%3D
Day Dz cos Ô =(440Xeas 315") = (y40)707)= 311 km
Dzy-Dzsizo =(440)(sin 315")=(440707) = -311 kax
%3D
%3D
Dig Dgeos @ = (550)(cos 233') = (590)X:602)= - 351 kn
Day Dysin e -(550)(sin 233) = (550X= 799)="439 km
%3D
%3D
Dx= Dy Dz,TD 620 +31l -331 = 600 km
Dy²Diy+ Dzy + Day = 8 - 3|1 - 439==750 kan
tai
-790
l600
tai' (-125)=F51.3
922,500
=1960 Ka
Transcribed Image Text:amazonbasics 620 ku E(0)+ 440 kae sE (31s) + 550 kmm (233.) af 59'5 of w) I cm = l00 Kum %3D 670 km 0° 0/300* 440 315* resultaut 550 kom 2330 Dey=DD,cose'=(G20 Xeos 0*)-(620X1): 620 kem Diy= Di sia Ğ = (620)( ria es") = 620)(9) = Ø (620)( ria f) = 6z0)(g) = Ø %3D %3D Day Dz cos Ô =(440Xeas 315") = (y40)707)= 311 km Dzy-Dzsizo =(440)(sin 315")=(440707) = -311 kax %3D %3D Dig Dgeos @ = (550)(cos 233') = (590)X:602)= - 351 kn Day Dysin e -(550)(sin 233) = (550X= 799)="439 km %3D %3D Dx= Dy Dz,TD 620 +31l -331 = 600 km Dy²Diy+ Dzy + Day = 8 - 3|1 - 439==750 kan tai -790 l600 tai' (-125)=F51.3 922,500 =1960 Ka
**if you have two or more vectors and they
are not on the x-y axis, you have to use
both techniques:
-use trig functions for each vector's
components:
D, = D sin O
D, = D cos O
-solve for all x and y components
-find the sum (add) all x components, all
y components
-use Pythagorean theorem:
D = VD,2 + VD,
2
%3D
y
solve for theta:
O = tan-1 D/Dx
Transcribed Image Text:**if you have two or more vectors and they are not on the x-y axis, you have to use both techniques: -use trig functions for each vector's components: D, = D sin O D, = D cos O -solve for all x and y components -find the sum (add) all x components, all y components -use Pythagorean theorem: D = VD,2 + VD, 2 %3D y solve for theta: O = tan-1 D/Dx
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