Anyone out there who can help with a problem of the physical task?

Question: A roller coaster in an amusement park has a depression it bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on it with a force equal to twice its weight as it passes through immersion. If r = 20.0 m, how fast is the roller coaster traveling at the bottom of the sauce? Answer: 14 m / sec The teacher gave me the answer, but I have to figure out how he got it. I can not get. Could someone help me solve this? Thank you.

I will start by listing the equations possible, then fill I can. F = ma = g 9.8 m / s ^ 2. Depending on where the roller coaster came into the circle (up, or half of the face) and the speed is entered, can be important. I guess it must have an equation for the centripetal force. use a 2g, where g is given above: F = = Mv ^ 2 / r. So now, ma = mv ^ 2 / r = 2g and g = 9.8 to (m) (9.8) (2) = (m) (v) ^ 2 / (20) cancel the m, and multiply both sides by 20: (19.6 ) (20) = v ^ 2 take the square root to get v: 19.8 m / s. I suspect that is another key piece of missing data, and what point of the circle of the roller coaster came in, and if you have had a speed of zero at some point in the arc.

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