Physics Assignment 14

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ENGLISH 30

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Physics

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Jan 1, 2025

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® G Fhysics 20: Mrs. Tyler Assignment 14 17 Assignment 14 Unit C Assessment This assignment is worth 16 marks. The value of each question is noted in the left margin in parentheses. 1. Use the following information to answer parts a-b. You are asked to design a rollercoaster. It will have ten attached cars, each of which will have a mass of 500 kg and carry six people with average mass of 70.0 kg. You want to design a vertical circular loop with a radius of 55.0 m. The centre of the circle would have a height of 71.0 m above the ground. Assume the track is frictionless. a) Calculate the minimum speed the rollercoaster cars would have to have at the top of the circle in order to continue around the circle and not fall off the track. : ) Rodibs (r) - 55.0m - Acceleration de to arcm% (@):as mjs* @t&l foce = R k. v- Jqe 55.0). L L e EIS N =231m6 ar 23 ms e my + =3 N2 = TS £ L] 2 o @ © ADLC All Rights Reserved {2019} Scanned with . CamScanner’;

Physics 20: Mrs. Tyler Assignment 14 P D For the remaining questions in this assignment, assume the v rollercoaster is designed to operate at the minimum speed at the top of the loop. b) Calculate the mechanical energy of the cars at the top of the circle, with respect to the ground. 3 ¥ D (3) Potenth). Efiragqt'fie op Epz \T\ah Ep = 00X 9-8L x 1265 Ep- 1135x10°J Kinetic E'saﬂot-!\-e"'op Ekz__l_rm" 15 2 R el s R PSRV Eyr.: Epfi-E. B 1.135 x 10"+ 2..u8 x 10° Em=1.8x 10"Jor 1.4 x10" J ¢) Calculate the speed of the cars when they are 40° below the horizontal. (4) Em ¢ EP'* E, EK‘ Ern‘ Ep S Vo= 2B 2 \J_—_m \ Hefght af LO® below e horzontol h= T1.0- rS‘n@O’)‘ h = 55-GL€m Potr=ntial Erermcﬂ: 1O b=ion) B = rgh Ep= 200X A.8Lx 35.6u8 EP = 521 X D‘ J Kiretic. Etsavdor 4O*® b=lows Ev: Bn- B Ee- 1.3807x 10" - 2.21 x 10¢ E - 1.0857 x 107 Spaédat LO® below Eia Lme 2. V= 2 ) Vi« (210857 x -JD/’) T 92Q0 V = \‘ZS‘.IS-"I V= LRIy ms or U8 m/s © ADLC All Rights Reserved {2019) i Scanned with & CamScanner’;

Physics 20: Mrs. Tyler Assignmient 14 d) Calculate the amount of tension on the track when the cars are 40" below the horizontal. (3) 4 5 4 - T- 3815 x10%+ 6911x 1Y r T= 4565 x 1O°N < Wy s - Roos(W) - R - 4G »105 N " ¥ T Fgfi- Faon‘D fg = rng = RCO X8 - 9.0252 x 1O'N Fe =yt - 9200 x (484 r 5.0 - 3.ax10° T = R+ FaCos Q(O’) e) Calculate the maximum amount of tension that the rollercoaster track would have to withstand within the loop. Include a free body diagram of the cars and specify the location in the circle. ) Mickrom Spe=d at te Bp Y, = {rg - (3ase)- {82955 = 3.2 mfs \Jelocnbd ot e bdh)m(Ereym(bheemfim Totaderev&thﬂetip > = 00x 81 % UTO +L % DO (23.22) E = h i—_i__ 2 3 "na + lmv 5 7 & LmExOC ‘:T-h-\v‘-.x""‘a a4 - R r2&210 51.87) 7 1 5 e : = Lyaax 0% N —)_-W; 1-)_38KD7 55 Vi 2.1.238 x 10" B - 9200x9.81 - a.005% 10N quO A = =3 |_‘ p 5 X ™ V=5i-8‘lv-n<s T L x 10° + R.025 x 10 You're done! Fr= 5.402x 10° or 5.4 x10° Once you've completed and checked all of your solutions, submit all of Assignment 14 to the ‘ appropriate dropbox in Moodle. © ADLC Al Rights Reserved (2013} i Scanned with & CamScanner’;