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1. Show all the atepa neceasary to convert 2.00 kilometera into milea atarting from 2.54 cm 1 inch. Explicitly ahow how the intermediate unita divide out in the converaion. 2. A poaition veotor ia alwaya drawn with ita tail at the origin. It haa unita of length and it locatea a point in a choaen coordinate ayatem. A diaplacement veotor ia drawn with ita tail anywhere in the coordinate apace. Diaplacement vectora alao have unita of length and repreaent the atraight-line diatance and direction an object might move from a atarting poaition to an ending poaition. If the object movea along a curved path, the diaplacement vector ia then shorter than the path length. Given all thia, draw a aet of x and y axea centered on the page acale where one graph grid repreaenta 1 om. a. and chooa e a compress ed b. Draww one position vector and then two oonsecutive diaplacement vectora from the point identified by the poaition vector. (So, the object of intereat atarta at the point indicated by the poaition vector and then movea through two conaecutive diaplacementa.) Label these vectora F, d and da Let F- 7 cmi +2 cmj, d --5 cmi 4 cmj and o. Find the veetor d, auch that+d+dd0. Draw thia vector on the graph and write d, uaing componenta and unit veotora d. Caloulate the magnitude of d, e. Caloulate the counter-elockwiae (COW) angle d, makea with an imaginary, poaitive a- ans drawn from ita tail. Anavrer: 126.9。 3. Fill in each blank with one word to correctly complete the following sentenoe The projection of a poaition vector onto any coordinate axia ia alwaya the a. of that vector the veotor makea with the axia. by the of the b. A an example of part (a), auppoae the Sun ia direotly overhead and you place one end of a meter-atick on the ground and hold the other end so the meter-atick makea a 60 degree angle with the ground. How long ia the ahadow caat by the meter-atick?Three poaition veotora are drawn below. Suppoae the magnitudea of vectora A, B and C are 10.0 om, 9.0 cm and 8.0 cm reapeotively a. Caloulate the r-component of vector-A b. Calculate the y-component of vector-B o. Calculate the g-component of vector-C 4. 40° 60° 30° 5. i, j and k (pronounced i-hat, j-hat and k-hat) are unit vectora that point in the poaitive a y and z directiona, reapectively. However, a unit vector can point in any direotion a. Prove that i+k ia a unit vector b. What muat be the coefficient: c to make 0.707i +0.577j+ ck a unit vector? o. Use the definition of the dot product and the auxiliary relation for the dot product to caloulate the angle between the unit vector in part (a) and the veotor li +1j +0k Anawer: 35.3°6. Certain reaulta from high school geometry are uaed repeatedly in Phyaica 1. A line makea an angle theta θ with the 2-axis. A pont along that line is indicated by a small, black dot Two daahed linea are alao drawn through the black dot. What ia the unknown angle labeled with a queation mark? Provide a brief argument that provea your anawer x-axis 7. It ia important to become familiar with phyaica terminology that will be uaed in the courae If two vectora are oriented at a 90-degree angle to each other, we aay they are perpendicular to each other or orthogonal. If two vectora point in the aame direction, we aay they are parallel to each other, even if they are not drawn aide-by-aide. If two vectora point in oppoaite directiona, we aay they are antiparallel. Complete the following aentencea with one word per blank. (Recall, the dot produot of two vectora: A.B- cosy, where the Greek gamma ia the angle between vector-A and vector-B.) a. If A. B ia a maximum, poaitive number, the vectora are b. If A. B ia a maximum. negative number, the vectora are o. If A. B equala zero the two veotora are d. A vector haa both length and direction. A vectora length or magnitude ia a numbeir which may have a variety of unita. In phyaica, numbera are often called scalars. Fill in the blanka uaing some phyaica alliteration. Velocity ia a while speed ia ae. Once we choose a set of coordinatea, we can how much of a given vector liea along one of the coordinate axes. The portion of a vector that lies along an axia ia called 최 component vector and it too ia vector. However, vectors component is acalar which . The poaitive or negative aign indicatea whether the aasociated component veotor pointa in the agreed upon poaitive or negative coordinate direotion. Confuaed? Here ia an example. Fill one word into each blank. Choose from the worda in italicsa can be either poative or negative A poaition vector ia 10.0 cm long and makea a COW 143.13° angle with the poaitive a- axia. To three aignificant figurea, the -axcia 1a 8.00 cm2 while the 2-axi (Fortunately, we usually focus on 최 vectors component and lees often on vector of thia poaition vector ia -8.00 om. component- 8. A car movea along a atraight atreet. The cara initial poaition at time ti ia given by a poaition vector , The cars later poation vector ia x, at time t2. Suppose → = 700 mi and x, = 400 ms a. Between t1 and勾, did the oar move to the right or to the left? Customarily, right is in the positive a-direction. diaplacement vector uaing a component and a unit vector The next two parta relate to the firat section of Chapter 2. You can wait until the next b. The cars displacement is the difference vector Δ→ 2,-, write the cars rk aaaignment to anawer them. omewor 9. Tarzan and Jane have an argument and aimultaneoualy walk away from where they were atanding. Tarzan atomps off for 42 metera in a direotion 50 weat of north and then atopa Jane walka 24 metera in a direotion 80° south of eaat and then atopa. After aome aulking Tarzan realizea he waa at fault and turna to face Jane a. Draw a vector addition diagram for thia aituation to some relative acale b. How far muat Tarzan walk in a atraight line to get to Jane? Solve thia queation uaing veotor addition and veotor componenta. Show all atepa. Anawer: 62.3 m o. In what direction muat he walk? Anawer: 54.3° south of eaatPlease let me know questions 3 through 9.

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Hey Buddy, Due to some time restrictions I am not able to solve all the questions at once. So kindly post the remaining questions as a single question to get it solved.

hope you will understand.

Thanks and Good luck!
and, Thanks for using homeworklib- Smarter way to study.

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