C Sign in or Sign up lane x email physics hw 03/16/2017 11:00 PM G667/100 3/16/2

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C Sign in or Sign up lane x email physics hw 03/16/2017 11:00 PM G667/100 3/16/2017 oso45 PM Print calculator Periodc Talle 2 of 14 Sapling Learning a roller coaster nde shown in figure. Previous sectons ofthe ndegive neer would you begin your design with safety in Your local the riders no more n more than Na500 g at g at the top of hump and no the froton and the bottom of the loop. For this initial phase of your design, you decide to ignore What is the minimum radus you can What is the minimum radius you can for the wertical loop? use for the semi-circular hump? 35.5 m not scale Assignment Information Due Date: 1/16/2017 1100 PM Points Possible You can check your answers You view soliniors when you complete er give up on any question You have five attempts per question. penalty for incorect answers. o Help with mis Topic O Web Help & Videos o Technical support and bug Reperts

Explanation / Answer

given
speed = 10.7 m/s
height = 35.5m
n=1.69g's
N = 5.69g's

n, N are dimensionless; they are the number of "g"s
Initially, E = PE + KE = M * 9.8m/s² * 35.5m + ½M*(10.7m/s)²
= M * 405.145 m²/s²

1. At r = Rhump, a = 1.69 * 9.8m/s² = v² / r v² = 16.562 m/s² * r
and E = M * 405.145 m²/s² = Mgr + ½ Mv²
405.145 m²/s² = 9.8m/s² * r + ½ * 16.562 m/s² * r
r = Rhump = 22.41 m

2. At r = Rloop, a = 5.69 * 9.8m/s² = 55.762 m/s²
= v² / r v² = 55.762m/s² * r
E = 405.145m²/s² * M = ½ Mv²
405.145 M= ½ * M * 55.762 m/s² * r
r = Rloop = 14.53 m

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