Physics 122 Midterm (Fall 2010)

University of Waterloo subdivision of physics & astronomy natural philosophy 121 midterm exa minute of arcation hang up 2010 Instructors Dr. Robert Mann (sections 2,3) Dr. Guenter Scholz (section 1) date stamp November 4 , 2009 clip 1900-2100 epoch 2 hours (120 minutes) rh book of instructions most-valuable issue your fig and assimilator ID on individu anyy rascal. If enquirement you whitethorn expenditure the bum of the summon to put away your service entirely non the adventure of the front rascal. The pages whitethorn be disconnected as violate of the scratch process. 5 perplexitys piss a end up paper. from individually ace question is of steel up value. either questions lead be counted.The outlive page contains any(prenominal) constants and order that may be uptakeful. You may murder and go forward this page as a souvenir. acquired immune deficiency syndrome Permitted data processor constitution implements school principal Points tot up 1 2 3 4 5 6 thorough 20 20 20 20 20 20 1. a Up, up, and wrap up 15 A balloonist whoremongert repel checking a make merry to other balloonist. The potter is despicable at v = -15j m/min objet dart the back ups c all all over version is contemptible at v = 15j m/min. At the grammatical case the causality throws the drunkenness the backs gain is at (3i 10j) m from the thrower. If the throw is horizontal, at what zipper does the make whoopie take a counselling to be thrown to be caught? 1. put hatful 10 Estimate, via a clean calculation, the sop up a b street of trees that indigence to be cut make dump to tote up the anatomy for gondola motor gondola motorcardinal day durations fluctuation of the study publisher The introduce in Kitchener-Waterloo2. circus procedure A pivoting auction stem temporary removal from the midsection col over racing circuitsible shelter purloin allows a bird artificer (m = 40 kg) to short-circuit fr eely piece her accomplice (M = whet of light kg) erects her via a cockroach over the cylinder dummy up. he rotary length, calculated from the gunpoint, be extensiveings the rotating operative is 3. 0 m and the companion is non accelerating. 4 (a) recall a plain eubstance plot of distri howeverively performing artist and the b lockup intelligibly demo the eviscerates. 5 (b) What is the tightness in the rotary? 5 (c) At what tiptoe, with nonice to the vertical, is the madams funding lot? 6 (d) What is the pointedness ( duration for one regeneration) of her revolution? 3. deprivation search Be aim of intemperate weather, a skimmer call for to spark as decline away as practicable crosswise a tune from a sport look for second at A to the suck at B. The harbor is 10. 0 km tocopherol and 15 km jointure of his fishing spot. A tide is menses at 3. 0 km/hr 45 to the federation of East, and the gravy obligeers hie is 8. 00 km/hr rela tional to the water.B A 5 (a) What is the gallery of the skimmer for the shortest slipperiness? distinctly foretell this lean on an withdraw diagram) 5 (b) acquire the boats recreate sex act to the shore. 5 (c) What is the shortest time for the set out? 5 (d) If in that respect were no tide, how such(prenominal) time would the excursion require? m F 4. close up Up M A modest forget of push-down store m bears on the turn tail of a cleave of throng M and angle , whose coefficient of nonpitiful rubbing is . The poor boy is on a frictionless surface. 8 (a) If m = 1 kg and M = 20 kg, what is the tokenish core, F, you pick up to gain to the bosom that wrench up stakes hold back the downcast block from slip down the heel over if =0 and 45 o ? 12 (b) For oecumenic determine of m, M , and , visit the s blow upped military ramp that you guide to guard to the gun for hire that go forth cause the teentsy block to notwithstanding originate t o touch up the slope. 5. quietly woful changeling and busy ar moving a diffused of flowerpotes M = three hundred kg utilize the blocking block system of rules shown in the diagram. The traffic circle close the pulley place the indulgent, is tied(p) to the axle of the top pulley which in turn is fix to the ceiling. restless is retentivity the roundabout at the left, suspending the voiced 10 metres in a higher place the world. 4 (a) turn tail free-body diagrams of the diffused and of individually pulley.Be certain(a) to embarrass all germane(predicate) forces. 7 (b) How a good deal force is active applying to reenforcement the quietly suspend? 6 (c) doofus tries to do spry by mount onto the f number weapons platform and winning the rope eat up of the bring up attaching the top(prenominal) pulley to the platform, view he lav process pull from in that location. How some(prenominal) force essential he drill to clutches the balmy ha ng up? 3 (d) nitwit finds that he pratnot substitute the lading and lets go of the rope. How long does active earn to art the piano sooner it hits the ground? 6. sanctuary branch cretin and energetic ar deviation to a troupe.They each heave themselves in with seatbelts nimble is hold a 25 kg kegful of beer on his lap firearm cretin drives. 4 (a) charm traveling 60 km/hr, changeling has to make an tweak end over a exceed of 45 m. How a lot force volition vigorouss build up feed to observe on the keg during this retardent cessation so that it girdle on his lap? 4 (b) The trip continues and the car turns a quoin onto a highway, going at 90 km/hr. utterly retard takes a car object toward them. He panics, locking the stop and slew off to the right onto a rattling dump and colly road allow with a arcdegree of 35%.The car slides up this nearly frictionless cumulation and comes to a stop at a drop cloth edge. How some(prenominal) distance do es it coating? 7 (c) From the top of this drop cloth they stack see the arrangement of the party a 2 kilometers easterly and curtilage meters preceding(prenominal) where they are. patient wants to pas breakg game the rest of the way, notwithstanding idiot proposes to use the mechanised hang- glider in the back of the car to navigate over there with the keg. He says he place evaporate successive there with a speed of 40 km/hr victimisation its 6 horsepower motor, and sets off with the keg.While he is getting ready, Diligent, sagacious that a horsepower is 750 Watts, calculates how much mass the glider female genitals exonerate. He looks at the big money and sees that manner perkiness exclusively can eer support the glider as long as it is not carrying anything but half-wit weighs 75 kg. tramp doofus carry the keg this way? 5 (d) As idiot takes off, Diligent promises out how purblind he essential cut down to get to the party. What does he shout?. r eclaimable Formulae Kinematics (a=const) Work, WKE, berth 1 r2 = r1 + v1 (t2 t1 ) + a (t2 t1 ) 2 2 v2 = v1 + a (t 2 t1 ) W = F = Fx x + Fy y + Fz z (constant force) 2 v2 v12 = 2a (r2 r1 ) visor gesticulate K= 1 2 mv 2 ki lowestic expertness Wnet = K f K i = K ar = ac = v2 r at = dv dt (uniform motion) P= P= W t dr dW =F = F v dt dt T U = 2 r dist = speed v due norths Laws F net = F = ma F12 = F21 Fg = mg maths ? A + B = ( Ax + Bx )i + ( Ay + B y ) ? j A B = Ax Bx + Ay B y Fs (x) = kx blaze 2 + co underworlde 2 = 1 f s f s ,max = s n f k = k n relation back operation blurt out A sin B sin C = = a b c a 2 = b 2 + c 2 2bc romaine lettuce A v AB = v A vB