please make sure u do all parts and have the right answers. The acceleration of
ID: 1458613 • Letter: P
Question
please make sure u do all parts and have the right answers.
The acceleration of a particle in an electric field depends on the charge-to-mass ratio of the particle.
(a) Compute q/m for a proton, and find its acceleration in a uniform electric field that has a magnitude of 200 N/C.
..... C/kg
..... m/s2
(b) Find the time it takes for a proton initially at rest in such a field to reach a speed of 0.007c (where c is the speed of light). (When the speed of a proton approaches the speed of light c, relativistic kinematics must be used to calculate its motion, but at speed of 0.01c or less, nonrelativistic kinematics is sufficiently accurate for most purposes.)
..... ms
Explanation / Answer
Force on proton in uniform eletric field E = q*E
q /m = 95808383.23 C/kg
acclaration = F/m = q*E / m = 1.6*10-19 * 200 / 1.6726219 × 10-27 = 1.91616*1010 m/s2
B
acclaration = 1.91616*1010
v = u+at
0.007c = 0 +1.91616*1010 *t
t = 0.007c / 1.91616*1010
t= 1.0959375*10-4 sec
t= 0.10959375 ms
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