(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

You have taken a job as senior

hench-person with Dr. Caasi Notwen, arch-nemesis of

James Bond. As with all of Bond’s enemies, Dr. Notwen

would like to develop an overly complicated method of

dispatching the British super-spy, so he has tasked you

with designing a “roller coaster of death.” This

frictionless roller coaster is to be designed such that

when the rider (James Bond) reaches the nadir (point B)

on the track, the acceleration he experiences will exceed

the limit of human survival (10 g’s where g = 9.8 m/s^{2}).

At point B the track has a radius of curvature of 25.0 m..

(a) From what height h (Point A) must the cart start (from rest) to ensure Bond’s demise?

2. Relevant equations

a_{c}=v^{2}/R

PE=mgh

KE=(1/2)mv^{2}

3. The attempt at a solution

10g's = 98.0 m/s^{2}≥ a_{c}= v^{2}/R

v = sqrt{a_{c}R} = [itex]\sqrt{98*25}[/itex] = 49.5 m/s

PE = KE

mgh = (1/2)mv^{2}

h = v^{2}/2g = 49.5^{2}/(2*9.8)= 125.0m

*** I'm rather rusty on my centripetal concepts and am wary of my answer; does it look correct to all of you? ***

Thanks in advance!

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# Homework Help: Roller coaster change in acceleration?

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