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In a certain particle accelerator, protons travel around a circular path of diameter 23.0  m in an evacuated chamber, whose residual gas is at 295  K and 1.00 ×10^-6 torr pressure. (a) Calculate the number of gas molecules per cubic centimeter at this pressure. (b) What is the mean free path of the gas molecules if the molecular diameter is 2.00 ×10^-8  cm ? | Numerade
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Scientists design a new particle accelerator in which procalc tons (mass 1.7 ×10^-2 γ kg ) follow a circular trajectory given by r⃗=c cos(k t^2) c sin(k t^2) , where c=5.0  m and k=8.0 ×10^4 rad / s^2 are constants and t is the elapsed time. a. What is the radius of the circle? b. What is the proton's speed at t=3.0  s ? c. What is the force on the proton at t=3.0  s ? Give your answer in component form. | Numerade
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