Calculating Acceleration and Time in a Cathode Ray Tube | Physics Homework Help

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The discussion focuses on calculating the acceleration and time of an electron in a cathode ray tube. The initial speed is 3.5 × 10^4 m/s, and the final speed is 1.4 × 10^6 m/s over a distance of 2.0 cm. The calculated acceleration is found to be approximately 4.9 × 10^9 m/s², but it is noted that this value is significantly incorrect due to a unit error. Consequently, the time calculated for the electron's acceleration is also incorrect, being off by the same magnitude. Accurate calculations are essential for proper understanding and application in physics problems.
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Could someone please confirm my answer. Thanks


Homework Statement



An electron in a cathode ray tube of a TV set enters a region where it accelerates
uniformly from a speed of 3.5 × 104 m/s to a speed of 1.4 × 106 m/s in a distance
of 2.0 cm.
(a) What is the acceleration of the electron in this region?

(b) How long is the electron in the region where it accelerates?

Homework Equations





The Attempt at a Solution



Given the: initial velocity ---> u = 3.5 x 10^4 m/s
final velocity -----> v = 1.4 x 10^6 m/s

distanced traveled S= 2.0 cm --> 2x10^-2 m

Let acceleration be "a"

v2-u2= 2as

a= (v2-u2)/2s = 4.8969375 x 10^9 m/s

b) let time be "t"

v = u +at --> t = (v-u)/a = 0.278x 10^-3 s
 
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I'd check your working again. Careful with units as well.
 
Your acceleration is 10,000x off the precise value :-p
Thus, your time is off by the same magnitude.
 
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