Scientists design a new particle accelerator in which protons with mass m= 1.7x 10^−27 (kg) follow a circular trajectory given by r =ccos(kt^2)i+ csin(kt^2)j where c= 5.0 (m) and k= 8.0 x10^4 (radius/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.
Scientists design a new particle accelerator in which protons with mass m= 1.7x 10^−27 (kg) follow a circular trajectory given by r =ccos(kt^2)i+ csin(kt^2)j where c= 5.0 (m) and k= 8.0 x10^4 (radius/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.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section: Chapter Questions
Problem 7P
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Scientists design a new particle accelerator in which protons with mass
m= 1.7x 10^−27 (kg) follow a circular trajectory given by
r =ccos(kt^2)i+ csin(kt^2)j where c= 5.0 (m) and
k= 8.0 x10^4 (radius/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.
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