Centripetal force with Conservation of Mass

AI Thread Summary
To determine the height h from which a car must start to complete a loop, centripetal force and conservation of energy principles are applied. The required height is derived as h = 5/2 * r, while the necessary speed at the top of the loop is calculated as v = √(5gr). The discussion emphasizes using centripetal acceleration to find the speed needed at the loop's apex. The absence of friction simplifies the calculations, focusing solely on gravitational potential and kinetic energy. Understanding these relationships is crucial for solving the problem effectively.
nhmockus
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1. Homework Statement : Essentially it is a loop with a ramp leading to it. Find the height h the car would start from in order to complete the loop. Also find the speed the car would have to be at to complete the loop Your answer should be in terms of r. No friction

2. Homework Equations : I know I need to use the equation K(initial) + V(initial)= K(final) + V(final)


3. The Attempt at a Solution : They give us the answers h=5/2*r and v= √5gr but I don't understand how to solve for these
 
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welcome to pf!

hi nhmockus! welcome to pf! :smile:

start by using centripetal acceleration to find the speed needed at the top of the loop :wink:
 
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