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

4. SOLUTION TEi = 51450 JTE = KE+PE+WEe KEi = 2000 JFg = Mg PEi = 44450 JFg = (175)(9.8) M = 1751Fg = 1715 N M = 0.07171Sin(30) = Fn Fg = 1715 N857.5 = Fn Fn = 857.5 NFf = mfNW = Ffd Ff = 60.025 NFf= (0.07)(85.7) Ff = 60.025 N

5. SOLUTION W1r = (60.025)(34.61)W3r = (60.025)(11.547) TE = KE + PE +WFrTE = KE + PE + WEr 51450 = KE + 0 + 2077.52 sWFr = 2770.6 + 693.1 KE = 49372.551430 = WE + 0 + 3463.7 KE = 47916.3 W2r = (60.025)(11.547) TE = WE + PE + WFrWfr = (60.025)(14.766) WFr = 693.1 + 12077TE = KE + PE + Wfr 51450 = KE + PE + 2770.6Wfr = 3463.7 + 586.2 45679.4 = WE + PE51450 = 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.