On a roller coaster ride the total mass of the cart - with passengers included -

Question

On a roller coaster ride the total mass of the cart - with passengers included - is 275 kg. Peak K is at 43.5 m above the ground, peak L is at 20.0 m. The speed of the cart at K is 15.9 m/s, at L it is 13.9 m/s. (The wheel mechanism on roller coaster carts always keeps the carts safely on the rail.)

Q1: How much energy is lost due to friction between the two peaks? I already got the answer
7.16×104 J

but i cant figure out question 2

Q2:The radius of curvature of the rail at peak L is 12.0 m. What is the magnitude of the net force on a 64.6 kg passenger at this point?

http://tinypic.com/r/2zrgkmc/9

Explanation / Answer

at L the velocity of the cart is 13.9 m/sec

we know that

Normal force N is given by

N = mv^2/R - mg

N = m ( 13.9^2/12 - g )

N = 407.03 N

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