Scientists design a new particle accelerator in which protons with mass m = 1.7 · 10-27 (kg) follow a circular trajectory given by ř = ccos(kt²)î + csin(kt²)ĵ where c = 5.0 (m) and k = 8.0 · 10ª () are constants and t is the elapsed time.
Scientists design a new particle accelerator in which protons with mass m = 1.7 · 10-27 (kg) follow a circular trajectory given by ř = ccos(kt²)î + csin(kt²)ĵ where c = 5.0 (m) and k = 8.0 · 10ª () are constants and t is the elapsed time.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![Scientists design a new particle accelerator in which protons with mass \( m = 1.7 \cdot 10^{-27} \) (kg) follow a circular trajectory given by
\[ \vec{r} = c \cos(kt^2) \hat{\imath} + c \sin(kt^2) \hat{\jmath} \]
where \( c = 5.0 \) (m) and \( k = 8.0 \cdot 10^4 \left( \frac{\text{rad}}{\text{s}^2} \right) \) 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa01c18cd-a3eb-4112-9efe-7c93aae07195%2Ff6f17e5c-aa87-4775-946d-d5c5d6573f47%2Fh84c1qb_processed.png&w=3840&q=75)
Transcribed Image Text:Scientists design a new particle accelerator in which protons with mass \( m = 1.7 \cdot 10^{-27} \) (kg) follow a circular trajectory given by
\[ \vec{r} = c \cos(kt^2) \hat{\imath} + c \sin(kt^2) \hat{\jmath} \]
where \( c = 5.0 \) (m) and \( k = 8.0 \cdot 10^4 \left( \frac{\text{rad}}{\text{s}^2} \right) \) 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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