ok i this question has been asked but whoever asked it did not show work therefore did not have it answered so here we go my attempt!!(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Show that on a roller coaster with a circular vertical loop the difference in your apparent weight at the top of the loop and the bottom of the loop is 6 g's that is 6 times your weight. ignore friction.

h = height of start of roller coaster

R = loop's radius

2. Relevant equations

PE = KE

a = v^2/R

3. The attempt at a solution

at the top of loop: mgh = mg2R + .5mv^2

solved for velocity v^2 = 2g(h-2R)

centripital acceleration is a = v^2/R ---> a = 2g(h-2R)/R

also i knew from another problem that minimum h had to be 2.5R to be able to go through the whole loop and stay on track so...

a = g? haha yeah i am lost i have no idea what to do. I am trying to teach this course to myself and i am really struggling without a teacher. Please help?

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# Homework Help: Conservation of Enery (roller coaster)

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