Work and force: frictionless rollercoaster

AI Thread Summary
To determine the minimum speed required for a frictionless rollercoaster to stay in contact with the rail at the top of a vertical loop with a radius of 6.0m, the relevant equations involve centripetal acceleration and energy conservation. The circumference of the loop is calculated to be approximately 37.70m, but further information is needed to apply the correct equations of motion. The discussion highlights a gap in understanding circular motion concepts, suggesting the need for self-study or additional resources. Participants recommend reviewing the principles of centripetal acceleration and energy conservation to solve the problem effectively. Mastering these concepts is crucial for solving similar physics problems.
yvonne1313
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Homework Statement


A frictionless rollercoaster does a vertical loop with a radius of 6.0m.
a) what is the minimum speed that the roller coaster must have at the top of the loop so that it stays in touch with the rail?

Homework Equations


2∏r should be used for the circumference but i don't know which equation of motion to use, v=u+gt/ v=u+at

The Attempt at a Solution


i worked out the circumference to be 37,70m but I am stuck with that and don't know what to do next
 
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is there enough info, or is there something missing?
 
Hi yvonne1313! http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

For circular motion: what equation do you know involving centripetal acceleration?
 
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i only know the energy conservation approach, i think that's what its called, with the equations of motion, w=f.s, ep=mgh, ek=0.5mv^2
 
It sounds like you might have missed the lessons on circular motion. :frown:

So you'll have to self-study that chapter in your textbook, or now that I've told you some terms to look for, try the web alternative: http://img811.imageshack.us/img811/5412/thgooglefriend1.gif
 
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