(a) Find the magnitude of the acceleration of the proton. m/s 2 (b) How long doe

Question

(a) Find the magnitude of the acceleration of the proton.
m/s2

(b) How long does it take the proton to reach this speed?

A proton accelerates from rest in a uniform electric field of 614 N/C. At some later time, its speed is 1.14 A proton accelerates from rest in a uniform electr 106 m/s. (a) Find the magnitude of the acceleration of the proton. m/s2 (b) How long does it take the proton to reach this speed? µs (c) How far has it moved in that interval? m (d) What is its kinetic energy at the later time? J

Explanation / Answer

apply

a Gravitatioal force F = electrical force

ma   = Eq

so that accleration a= Eq/m

a = 614* 1.6e-19/91.67e-27)

a = 5.88*10^10 m/s^2

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apply V = at

t = V/a = 1.14e6/(5.88e10)

t = 19.3 Micro Secs
---------------------------------------------
apply V^2 = 2aS

S = 1.14*1.14e12/(2* 5.88e10)

S = 11.05 m
----------------------------------
KE = 0.5 mv^2

KE = 0.5*1.67 e-27* 1.14*1.14*e12

KE = 1.08 *10^-15 Joules

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