Please show how you got the answer The roller coaster in the figure below starts

Question

Please show how you got the answer

The roller coaster in the figure below starts with a velocity of 17 m/s. One of the riders is a small girl of mass 33 kg. Find her apparent weight when the roller coaster is at locations B and C. At these two locations, the track is circular, with the radii of curvature given in the figure. The heights at points A, B, and Care hA = 15 m, ha = 25 m, and he = 0. Assume friction is negligible and ignore the kinetic energy of the wheels. (The figure is not necessarily drawn to scale.)

Explanation / Answer

At B, the net centripetal force is W- N= mv^2/r

Now v at B: 0.5 mu2= 0.5mv2 + mg10,hence v= 9.64m/s

Hence , we get apparent weight (W-N)= 306.9N

For C, the equation becomes N-W= mv2/r

here, 0.5mv2= 0.5mu2 + mg15( By law of conservation of energy)

hence v= 24.15m/s

hence apparent weight W-N= -961.95N

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