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PNE Question Project

PNE Question Project. Tony shao Alex McKenzie Austin Gardner. Wooden Roller-coaster.

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PNE Question Project

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  1. PNE Question Project Tony shao Alex McKenzie Austin Gardner

  2. Wooden Roller-coaster • Tony decides to ride the wooden roller coaster at the PNE. As his car reaches the top of the hill, the electrical system in the coaster crashes. After starting at the top of the first hill with an initial KE of 2000J, Tony makes it up the second hill. Is Tony able to make it over the third hill?

  3. TEi = 51450J PEi = 49450J KEi = 2000J Graph 11.547 m 30 degrees 34.61m H= 10m 55 degrees 30m 60 degrees H= 8m 30 degrees

  4. Solution • TEi = 51450 J TE = KE+PE+WEe • KEi= 2000 J Fg = Mg • PEi = 44450 J Fg = (175)(9.8) • M = 1751 Fg = 1715 N • M = 0.07 171Sin(30) = Fn • Fg = 1715 N 857.5 = Fn • Fn = 857.5 N Ff = mfN W = Ffd • Ff = 60.025 N Ff= (0.07)(85.7) • Ff = 60.025 N

  5. Solution • W1r = (60.025)(34.61) W3r = (60.025)(11.547) • TE = KE + PE +WFr TE = KE + PE + WEr • 51450 = KE + 0 + 2077.52 s WFr = 2770.6 + 693.1 • KE = 49372.5 51430 = WE + 0 + 3463.7 • KE = 47916.3 • W2r = (60.025)(11.547) • TE = WE + PE + WFrWfr = (60.025)(14.766) • WFr = 693.1 + 12077 TE = KE + PE + Wfr • 51450 = KE + PE + 2770.6 Wfr = 3463.7 + 586.2 • 45679.4 = WE + PE 51450 = 0 + PE + 4049.9

  6. Solution • PE = 47400.1 • Mgh = 47400.1 • 47400.1 J = (175)(9.8)h • H = 27.6 m • Yes, the cart can easily makes it over the third hill.

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