Posted by **Nikita** on Monday, October 26, 2009 at 11:19am.

A roller coaster ride includes a circular loop with radius R = 11.6 m. What minimum speed must the car have at the top to stay in contact with the tracks?

How would I go around solving this, as in what formula would I need?

- Physics -
**MathMate**, Monday, October 26, 2009 at 11:43am
The centripetal acceleration is given by v²/r m/s².

Acceleration due to gravity is g=9.8 m/s²

If one is to offset the other, they must be equal. at the highest point of the loop.

So set

v²/r = g

to solve for v.

Note: at this speed, the normal force on the track is zero.

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