Centripetal force with Conservation of Mass

[nhmockus]

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

 

[tiny-tim]

welcome to pf!

hi nhmockus! welcome to pf!

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