The centripetal acceleration must equal the acceleration due to gravity to keep the car from falling:

At the top of the loop, two main forces are at play: gravity (

v=9.8⋅15v equals the square root of 9.8 center dot 15 end-root v=147v equals the square root of 147 end-root v≈12.12 m/sv is approximately equal to 12.12 m/s ✅ Final Result

To find the minimum speed required for a roller coaster to successfully complete a vertical loop with a radius of