Giambaisa, Ch 3 Problems: 9, 15, 21, 27, 35, 37, 42, 43, 47, 55, 63, 76 9. Sraeg Le be direced along he +x-axis and le be 60.0 CCW from Find he magniude of 6.0 B 60.0 4.0 A x 15. (a) Sraeg Since he angle is below he +x-axis, i is negaive. Compue he componens. C x = 1.8 C = 6.7 7 (b) Sraeg The componens of are given. Use he Phagorean heorem. Compue he magniude and direcion of (c) Sraeg Add he componens of he vecors o find he componens of he vecor sum. Use he Phagorean heorem. Give he angle wih respec o he axis o which i lies closes. Find he magniude and direcion of and (d) Sraeg Use he componens of o find hose of
Compue he magniude and direcion. (e) Sraeg Use he componens of o find hose of Compue he componens. x-comp and -comp 21. Sraeg Draw diagrams of he siuaion. Use he definiions of average speed and average veloci. (a) Find he runner s average speed. C (b) Find he locaion of he runner on he rack. he runner has gone around once plus 0.569 imes. Find he angle shown in he diagram. Find he radius of he rack. r θ r i Find Find he runner s average veloci. 27.(a) Sraeg Find he average speed b dividing he oal disance raveled b he oal ime. Each disance is given b he produc of he speed and ime. diagram. (b) Sraeg Use he definiion of average veloci. Draw a
Compue he disance of each leg of he rip, hen draw he diagram. N 36.0 km 60.0 15.0 km Find Le eas be in he +x direcion and norh be in he + direcion. 35. Sraeg Since he paricle is moving o he eas and is acceleraed o he souh, is veloci in 8.00 s will be beween eas and souh. Use he componen mehod. Le norh be in he +-direcion and eas be in he +x-direcion. 37. Sraeg Use Eqs. (3-13) and (3-14). Se since he verical componen of he veloci is zero a he maximum heigh. (a) Find he maximum heigh. v i 19.6 m 30.0 v ix (b) A he ball s highes poin, so he speed v equals
42.Sraeg In each case, use Eq. (3-12) o find he ime i akes for he sone o reach he base of he gorge. (a) (b) Solve for using he quadraic formula. (c) v i sin 30.0 30.0 v i cos 30 Solve for using he quadraic formula. Find he horizonal disance. 43. Sraeg Solve for he ime and subsiue he resul ino Eq. (3-12). Then, solve for o find he required disance from he cannon. Subsiue. 35.0 Cannon 18.0 m/s N
Use he quadraic formula. Since he cannon won fire backward, ne such ha is cener is 37.1 m in fron of he cannon. So, ou ell he ringmaser o place he 47.(a) Sraeg Consider each quani s dependence on ime. x so x increases linearl wih ime. According o Eq. (3-12), is parabolic. Since he ne acceleraion of he sone in he horizonal direcion is zero, is consan. v sars posiive and decreases linearl. v x (b) Sraeg Find in erms of and Solve for he iniial speed. v i sin 25.0 i 25 v i co So, he iniial veloci is (c) Sraeg Find h using he resul for found in par (b). Use Eq. (3-12). (d) Sraeg Se o find he ime when he sone reaches is maximum heigh.
Use Eq. (3 10) o find he ime. Find H. 55.Sraeg Consider he relaive moion of he ship and he waer. The relaive speeds are: Subrac (1) from (2). 63.Sraeg Consider he relaive moion of he waer (w) and Sheena (s). Le he +-direcion be upsream and he +x-direcion be oward he opposie bank (b). (a) Find he x-componen. 3.00 mi/h The -componen is 60.0 1.60 mi/h Use he Phagorean heorem. (b) (c) (d) The upsream componen of her veloci relaive o he waer mus be equal in magniude o he veloci of he curren relaive o he bank, or
76.Sraeg The projecile mus be displaced 75.0 m vericall in he same amoun of ime ha i ravels 350 m horizonall. The projecile ma hi he headquarers on is wa up, on is wa down, or a is maximum heigh. Use and Eq. (3-12). Solve for he iniial speed,