A particle of charge q =3.6nC and mass m = 13μg has an initial velocity of vo =28 directly toward an infinite line charge λ =156 C. The charge qis initially a distance to = 87cm from the line charge. As the charge approaches the line it comes to a momentary stop. Determine the distance the charge is from the line when it comes to a stop (in cm). m
A particle of charge q =3.6nC and mass m = 13μg has an initial velocity of vo =28 directly toward an infinite line charge λ =156 C. The charge qis initially a distance to = 87cm from the line charge. As the charge approaches the line it comes to a momentary stop. Determine the distance the charge is from the line when it comes to a stop (in cm). m
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Chapter1: Units, Trigonometry. And Vectors
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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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![A particle of charge \( q = 3.6 \, \text{nC} \) and mass \( m = 13 \, \mu \text{g} \) has an initial velocity of \( v_0 = 28 \, \frac{m}{s} \) directly toward an infinite line charge \( \lambda = 156 \, \frac{\text{nC}}{m} \). The charge \( q \) is initially a distance \( r_0 = 87 \, \text{cm} \) from the line charge. As the charge approaches the line, it comes to a momentary stop. Determine the distance the charge is from the line when it comes to a stop (in cm).
[Note: There are no graphs or diagrams in the image.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb854e95b-6f91-4ea9-9e99-ab6ba7352139%2Fccaebc81-2776-41cf-b419-0d904eea6324%2Fil3oy4i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A particle of charge \( q = 3.6 \, \text{nC} \) and mass \( m = 13 \, \mu \text{g} \) has an initial velocity of \( v_0 = 28 \, \frac{m}{s} \) directly toward an infinite line charge \( \lambda = 156 \, \frac{\text{nC}}{m} \). The charge \( q \) is initially a distance \( r_0 = 87 \, \text{cm} \) from the line charge. As the charge approaches the line, it comes to a momentary stop. Determine the distance the charge is from the line when it comes to a stop (in cm).
[Note: There are no graphs or diagrams in the image.]
Expert Solution
Step 1
Given that
the charge of the particle is
and the mass of the particle is
the charge density of the infinite line charge is
the initial position of the particle is
the initial velocity of the particle is
And the final velocity of the particle is
Since the electric force due to the line charge on the particle at distance r is
where k is the coulomb's constant
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