Answered: mass 7.03 mg and charge -935.0 nC are…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter26: Electric Potential

Section: Chapter Questions

Problem 13PQ: A proton is fired from very far away directly at a fixed particle with charge q = 1.28 1018 C. If...

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Two identical particles with mass 7.03 mg and charge -935.0 nC are released from rest a distance 67.7 m from each other. How fast (in m/s) is one of the particles moving when they are a distance 393.0 m from each other?

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We know that we have given let the two identical particles q₁ and q₂ have a mass of m and released from the rest to a distance of d to each other.

Then We know that the force between the two-particle at a distance d is given as

$F = \frac{{kq}_{1} q_{2}}{d^{2}} - - - - - eq 1 here q_{1} = q_{2} = q = - 935 \times 10^{- 9} C d = 67.7 m We also know that newton second law of motion F = ma a = \frac{F}{m} - - - - eq 2 Now we know that the third equation of motion v^{2} = u^{2} + 2 as - - - - - eq 3 here u is the initila velocity of particle = 0 m / s s is the distance = 393 m v is the final velocity$

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