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A physics major is working to pay his college tuition by performing in a traveling carnival. He rides a motorcycle inside a hollow transparent plastic sphere. After gaining sufficient speed, he travels in a vertical circle with a radius of 13.4 . The physics major has a mass of 74.0 , and his motorcycle has a mass of 40.0 What minimum speed must he have at the top of the circle if the tires of the motorcycle are not to lose contact with the sphere?

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    m*v^2/R=mg centripetal force=the weight under the condition that traveled without losing contact with the sphere --> g= v^2/R--> v=(2gR)^(1/2)=(2*9.8*13.4)^(1/2)=16.206

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