Scientists design a new particle accelerator in which protons (mass 1.7 × 10−27−27 kg) follow a circular trajectory given by r⃗ =ccos(kt2)ı^+csin(kt2)ȷ^, where cc = 4.5 m and k = 8.0 × 1044 rad/s^2 are constants and t is the elapsed time. What is the radius of the circle? Express your answer with the appropriate units.
Part A. R = 4.5m
What is the proton's speed at tt = 3.0 ss? Express your answer with the appropriate units.
Part B. v = 2.2â‹…106ms
What is the force on the proton at tt = 3.0 ss? Give your answer in component form. Enter your answers in newtons separated by a comma.
Part C. Fx, Fy = nothing N