Soooo YllC U A EAT VNTU! Show your work on all problems. THE CAROUSEL Data: Distance from outer ring of horses to center: 6 meters Time for one revolution: 13 seconds i\4ass of rider: 60 kilograms I. What is the period of the merry-go-round? I??5 2. What is the frequency of the merry-go-round? (35 3. What is your tangential speed if you are standing next to one of the horses in the outer ri___ \( 135 4. Oo — horses What is the centripetal force acting on you. if you are standing next to one of the in the outer ring? . 5. Oh no! The carousel floor is very slippery and you start to slide off the ride! What direction will you travel? i,1 6. What is ohysically providing the centnpetal force that keeps you on the ride? Describe any ‘centhiugai effect” that you may sense. - r ik , EFFECT MOVIETOWN WATER iih oieach boat 7.0 nztets Time for boat to pass point A (right be±bre last drop): 1.9 sec Time for boat to come down the slide (A to B): 2.3 seconds Time for boat to pass point C: 3.5 seconds Yoiw Mass: 6O.K.g nd, at point A right before the last final What is the velocity of the boat, in meters / seco 1. drop? ‘7Om —1:9 5 2. —4-; - assume constant acceleration? What is the velocity of the boat at point B, if you t A.) (Remember the initial velocity of the boat is at poin T fln’ .7mk 3. What is your momentum at point B? pn (tao k(a1 1s) I31?-. 3. What is your speed as the boat passes point C? )n) What is your difference in momentum between points B and C? 5. d C- (L,Ok)(3.-l3) s 5. j3--L)- I.2-’-/a k- j ‘ç if the time required to go between points B and C is 1.5 seconds, calculate the force in newtons that your body experiences. (think impulse ) L4- kmk L TORO 1. To get to the top of the hill, El Toro’s car is vertically lifted 53.3 meters. iThe average mass of a loaded car is 9750 kg. What is the work done by the motor to lift the car and passengers to the top of the hill? ‘,Jork tvC’%Q-* ? (cri = k) ç i 1 t 0 y1). (!OxJJ’ 2. If the car travels from the bottom to the top of the hill in 43.0 seconds, what is the required power output of the motor? vI 5 L 1 tiQ NITRO ‘‘1 ) ‘ Nitro’s imtzal vertical drop The train is pulled up the lift hill a distance of 120 meters in order to reach this vertical drop height. Flow much force did the lift chain mpiytothetraintoouilitupthehill? ..— Y1G&z4 Pt —n,ç, i -L ,J -j 1 sume r tP loci ot the train is nearly zero ritht betasthen what is :e velocity Of the train at the bottom of this initial drop? ‘ ci± - K cct btji / / -i(qs1A cl a’ ) Roller Coaster Refer to the diagram and measurements of the “Scream Machine.” 3. Using the ground level as zero gravitational potential energy, what is the potential energy of a 60.0-kg passenger at point B? = 9: What is this person’s kinetic energy anjoules at the top ot loop E? 2 3-74,3DS-7 10. At point D, the potential energy of the ride is zero. What is your speed at point D in meters per second? j .2.- — ‘Zr Ii _L!ai t
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