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

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SUMMARY

The discussion focuses on calculating the acceleration and time of an electron in a cathode ray tube, specifically from an initial velocity of 3.5 × 104 m/s to a final velocity of 1.4 × 106 m/s over a distance of 2.0 cm (2 × 10-2 m). The correct acceleration is calculated using the formula a = (v2 - u2) / (2s), resulting in an acceleration of 4.8969375 × 109 m/s2. The time spent in the accelerating region is derived from the equation t = (v - u) / a, yielding a time of 0.278 × 10-3 s, although the original calculations were noted to be significantly off due to unit errors.

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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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