ࡱ > y bjbj . { { A : : : : : N N N 8 $ N + " + + + + + + + $ P- 0 C+ : C+ : : X+ ) ) ) R : : + ) + ) ) J( }* ~pk + * , + n+ 0 + -* P 0 0 X }* 0 : }* ) C+ C+ v + 0 : Name_________________ Vector Worksheet Turn this problem in at the beginning of the next lecture. Lets add the following three vectors. Sketch the vectors. Vector A: 40.0m/s at 36.9o West of South Vector B: 60.0m/s at 56.4o North of West Vector C: 90.0m/s at 65.5o East of North 1st step: find the x-component of A:_____________________________ find the x-component of B:_____________________________ find the x-component of C:_____________________________ 2nd step: find the y-component of A:___________________________________ find the y-component of B:___________________________________ find the y-component of C:___________________________________ 3rd step: Sum the x-components:_____________________________________ Sum the y-components:_____________________________________ 4th step: Use Pythagorean Theorem to find magnitude of resultant Magnitude:______________________________________________ 5th step: Calculate direction of resultant vector using EMBED Equation.3 Angle:______________________________________________ The length of vector A is 250 units and the length of vector B is 350 units. If these two vectors are added together (assuming any possible orientation of the two vectors), what is the maximum possible length of their sum? Please illustrate your response with a drawing. What is the minimum possible length of their sum? Please illustrate your response with a drawing. If A and B are perpendicular to each other how do the magnitudes of A+B and A-B compare? Please illustrate your response with a drawing. Physics 2A PAGE PAGE 1 Turn Over Please ' ( ) b c d # $ , ] ^ ` e 2 3 4 Ѻ٩wkj h. CJ EHU0jK? h. CJ OJ PJ QJ UVmH nH u j h. CJ Uh. >*CJ H* h. CJ h. >*CJ h. OJ PJ QJ h. PJ h. CJ H*PJ h9H CJ PJ h. CJ PJ h. h. >*CJ PJ hH ^ h. 5>*CJ PJ hH ^ CJ h. CJ * ) d e ! " # h i j ^ 1$ 7$ 8$ H$ ^ 1$ 7$ 8$ H$ $ a$ 4 5 6 | } ~ X Y Z \ 6 9 x y z | h ^ ` 4 5 x | ) C D E F G H K L M N O P Y Ҹ̸̗̆| h. CJ hZ - j hZ - Uh,1q hg CJ h,1q hg 5CJ hg 5CJ hg hg CJ h,1q 5CJ h,1q h,1q 5CJ hg hg 5CJ hg CJ h,1q CJ h)M CJ hH ^ CJ h. 5CJ h. h. CJ j h. CJ U ,| gd,1q gd,1q $a$gdQ &`#$gdR, ֺɴ瞘 hg CJ hZ - hQ hrs CJ hQ hQ CJ hQ CJ h9H 0J CJ aJ mH nH uhrs hrs 0J CJ aJ !j hrs hrs 0J CJ UaJ hR, hrs hrs 0J j hrs 0J U , / =!"#$% @ ! D d B S A ? 2 51ZLsu˩ g D `!_ 51ZLsu˩\ @ 3 U xcdd``^$d@`,&F&*(e112BYpL $ lʹ ʛ 2 7 27)?(׳ B;|.? _5ӸYtف"+a!@8W?n@`SKf00̄f2Нb2#ԽA1SO4 ĸfj%s C-#n}A[O0l ƭIqkw@/&6p @iGI#%t!PZY.ƥLhbbx Px{0 R T}cBMیp3 JCU> )%?1a H 3 xUϏD~v҅.khU[q@O=%؎dBz`"㍵8DKjkōOg5bɼ}o~eon.` zcԣ!-z轄o=쮘w*y7As\\k^=3/ ~[s ?L/ Exg /-+Gsބ+Ʉ e@ˀ4yl|`!ܹX(7wz5-cNh庩VtކG5s7;E1oTT?Q+E0c>"gc%I·=