An alpha particle (*He nucleus, charge +2e) starts from rest and accelerates over adistance of 1.0 cm in a uniform electric field of magnitude 25 kV/m. (a) What is thefinal kinetic energy (KE) of the alpha particle? (b) What is its final speed?

Answered: An alpha particle (*He nucleus, charge…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 92P: An electron and a proton, each starting from rest, are accelerated by the same uniform electric...

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An alpha particle (*He nucleus, charge +2e) starts from rest and accelerates over a
distance of 1.0 cm in a uniform electric field of magnitude 25 kV/m. (a) What is the
final kinetic energy (KE) of the alpha particle? (b) What is its final speed?

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$C h a n g e i n K E = W o r k D o n e C h a n g e i n K E = F d C h a n g e i n K E = E q d K E_{f} - K E_{i} = E q d K F_{f} = E q d K E_{f} = E (2 e) d = (25 \times 10^{3}) * (2 \times 1.6 \times 10^{- 19}) * (0.01) K E_{f} = 8 \times 10^{- 17} J$

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