- #1

TroyWeathers

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I am stuck on a problem that seems so very simple, but I can not get the correct answer on this. I would appreciate anyone who would solve this and/or tell me what I am doing wrong. Sometimes I make stupid mistakes. I know it is probably simple, but just hit a wall on this one.

Problem:A train is running smootly on a curved track at the rate of 50 m/s. A passenger standing on a set of scales observes that his weight is 10% greater than when the train is at rest. The track is banked so that the force acting on the passenger is normal to the floor of the train. What is the radius of curvature of the track?

I am told the final correct answer is 556m.

My attempt is this : Centrifugal force = mg

So, since he is 10% more weight than at rest I have: mg + .10mg = mv^2/r. where m = mass, g= acceleration due to gravity, and r= the radius of the track.

1.1mg = mv^2/r. The masses cancel giving 1.1g = v^2/r. Solving for r gives:

r= v^2/1.1g, which gives me 231.9m for r which isn't correct. Where have I went wrong? Thanks for the help!