The roller coaster in Figure P6.36 starts with a velocity of 16.4 m/s. One of th

Question

The roller coaster in Figure P6.36 starts with a velocity of 16.4 m/s. One of the riders is a small girl of mass 25 kg. At points B and C, the track is circular with the radii of curvature given in the figure. The heights at points A, B, and C are hA= 24.95 m, hB = 34.7 m, and hC=0 m. You may assume the track is frictionless.

Find the velocity of the roller coaster at point B.

8.82 m/s

Find the velocity of the roller coaster at point C.

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Find her apparent weight at B

Find her apparent weight at C

Explanation / Answer

Velocity of roler coaster at C

conserving energy

m g Ha +0.5mVa^2 =mg Hc +0.5mv^2

Vc = 27.53m/sec

apparent weight at B = mg - mv'^2/rb substitute radius of curvature ( since i cant see the image so am giving u equation)

apparent weight at C= mg +mv'^2/rc

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