To study the properties of various particles, you can accelerate the particles w

Question

To study the properties of various particles, you can accelerate the particles with electric fields. A positron is a particle with the same mass as an electron but the opposite charge e). Express your answer in vector form. Do not enter units in your expression. (a)Tf a positron is accelerated by a constant electric field F = 285-14,-180 k ) N/C, tind the acceleration of the positron. a- How does the force vector relate to the electric field vector? How is the acceleration vector related to the force vector acting on an ohject? m/s (b) Assuming the positron started from rest, find the velocity of the posltron 8.60 x 10s later - m/s

Explanation / Answer

(A) F = q E

and a = F/m = q E / m

a = (1.6 x 10^-19)(285i - 145j - 180 k) / (9.109 x 10^-31)

a = (5 x 10^13)i - (2.55 x 10^13)j - (3.16 x 10^13)k m/s^2

(B) v = v0 + a t

v = 0 + (5 x 10^13)i - (2.55 x 10^13)j - (3.16 x 10^13)k )(8.60 x 10^-9)

v = (4.30 x 10^5)i - (2.19 x 10^5)j -(2.72 x 10^5)k m/s

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