Classical Mechanics

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Speed of a Rollercoaster Cart


A roller-coaster cart reached the very top of a loop at a speed of $24 \space m/s$. The radius of the curvature of the loop at this point is $36 \space m$. The cart then moves on and eventually reaches the top of the next loop of a radius of $18 \space m$. To experience the same centripetal force as on the top of the first loop, what should the cart's speed be at the top of the second loop?