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A biker is riding on a level, horizontal road. The coeffients of friction between her tires and the road are µs = 0.76 (static friction) and µk = 0.41 (kinetic friction). The total mass of the bike and biker is 76.5 kg. She is seated so that the normal force the road exerts on her front tire is 1/2 the normal force the road exerts on her back tire.

What is the maximum acceleration of the bike and biker? Give your answer to three digits in units of m/s2.

In this problem, the frictional force on the front wheel is going to be much smaller (by a factor of about 50) than the other forces in the problem, so it can be ignored.

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