t Kg:tt-14 = K^o.^ t 0;.**'\ ^4 KtLJq.i e e'' ),-, Yl4 * ahn (ka6577) potential energy and spring force ahn - (15011) This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page - find all choiccs beforeanswering. =.!i/*,., -^,^,ogt ,t,0'0,noinfs It takes 2.76J of work to stretcha Hooke's-law ):'i* 'l -,.-"--- "pring 8.09cm from its unstressedlength. H r r ^ , rmuch n r r n h fthe hp a wfrq rwork r r n r l r iis q rrequired pnrrirarl fto n How extra A_'t " tA stretch it an additional 15.6 cm? Answer in l-ttn9-: unitsof J. i --"'' FI',.*, A)-sl'-z ?/ l. @ The force required to stretch a Hooke's-law spring variesfrom 0 N to 51.6N as we stretch the spring by moving one end 5.88 cm from its unstressedposition. Find the force constant of the spring. Answerin units of N/m. l â‚¬=-Ll| -? -',) f* a, 003 (part 2 of 2) 10.0points , t) ,'L Find the work done in stretchingthe spring. r r -.){nl V Answer in units of J. D 004 (part 1 of 6) 10.0points A projectile of mass 0.425 kg is shot from a cannon, at height 6.6 m, as shown in the figure, with an initial yetroertyu; having a horizontal component QA ^l:)=-+ L,T,x The projectile risesto driidximum heightof AE abovethe end of the cannon'sbarrel and strikes the ground a horizorrtaldistarrceAr past the end ofthe cannon'sbarrel. /, 005 (part 2 ot 6) 10.0 points Determine the maximum height AE the projectile achieves after leaving the end of the cannon's barrel. Answer in units of m. 006 (part 3 of 6) 10.0points Find the work done by the gravitational force on the projectile during the motion in its -t\,7 trajectory. Answer in units of J. Wn,o,-$i (J ') Ul OOZ(part 4 of 6) 10.0points Find the magnitude of the velocity vector when the projectile hits the ground. Answer in units of m/s. 008 (part 5 of 6) 10.0points Find the magnitudeof the angle (with repect F to horizontal) the projectile makeswhen im9! _r,"^ pacting the ground. Answer in units of ". ,+, , 009 (part 6 of 6) 10.0points Find the range Ar of the projectile. Answer in units of m. ! = )"'- L17t - !,7r' I'ina t ui'vn l'" o / Starting from rest at a height equal to the radius of the circular track, a block of mass 25 kg slides down a quarter circular track under the influence of gravity with friction present (of coefficientp). The radius of the track is 35 m. The accelerationof gravity is 9.8 m/s2 . 25kg I qs-i"O.-fu,^g cr59 0o, TI \uqSewi Ji cvt- (o t, Determine the vertical component of the initial velocity at the end of the cannon'sbarrel, where the projectile beginsits trajectory. The accelerationof gravity is 9.8 m/s2 . Answer in units of m/s. '4* If the kinetic energy of the block at the bottom of the track is 4500 J. what is the work done againstdiicilof,? Answer in units orJ. !rJ,.,. = (k"r=K;)+(Uw-ti,,,-) 011 10.0points A spring with a forceconstantof 5.2 N/m has a relaxed length of 2.62 m. When a mass is ahn (ka6577) - potential energy and spring force - ahn - (15011) attached to the end of the spring and allowed to come to rest, the vertical length of the spring is 3.73m. Calculate the elastic potential energy stored in the spring. Answer in units of J. 0L2 (part 1 of 3) 10.0points A 40.0 kg child is in a swing that is attached to ropes2.20m long. The accelerationof gravity is 9.81^ls2 . Find the gravitational potential energy associated with the child relative to the child's lowest position under the following conditions: a) when the ropes are horizontal. Answer in units of J. 013 (part 2 of 3) 10.0points b) when the ropes make a 33.0o angle with the vertical. Answer in units of J. 014 (part 3 of 3) 10.0points c) at the bottom of the circular arc. Answer in units of J. - JLrC- uJ^.t'\JL (-" I lt/\ - 1 \ h*"

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