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Scientists design a new particle accelerator in which protons follow a circular path whose radius vector is given by: 7c Cos(kt) + c Sin(kt)

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Scientists design a new particle accelerator in which protons follow a circular path whose radius vector is given by: 7c Cos(kt) + c Sin(kt) where c = 5m and k = 8* 104 rad/s mass of proton 1.7 * 10-27 kg a) What is the radius of the circular path? b) What is the proton's speed at t = 3s? c) What is the force on the proton at t = 3s? Give your answer as a vector.

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