Pregunta
Section 21.4 Electric Field and Electric Forces
proton is placed in a uniform electric field of
. Calculate: (a) the magnitude of the electric force
felt by the proton; (b) the proton’s acceleration; © the proton’s
speed after
s in the field, assuming it starts from rest.
felt by the proton; (b) the proton’s acceleration; © the proton’s
speed after
Ask by Schmidt Pritchard. in the United States
Jan 14,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
(a) The electric force on the proton is approximately
N.
(b) The proton’s acceleration is approximately
m/s².
© After
, the proton’s speed is approximately
m/s.
Solución

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Como
Beyond the Answer
To solve the problem, we can use the formulas for electric force, acceleration, and kinematics.
(a) The magnitude of the electric force
on the proton can be calculated using the formula:
where
is the charge of the proton (approximately
) and
is the electric field strength. Substituting the values:
(b) The acceleration
of the proton can be calculated using Newton’s second law:
where
is the mass of the proton (approximately
). Therefore:
© Assuming the proton starts from rest, we can use the formula for final velocity
in terms of acceleration and time:
with
:
In summary:
- The magnitude of the electric force felt by the proton is
. - The proton’s acceleration is approximately
. - The proton’s speed after
in the field is approximately .
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