Find electron's acceleration and final velocity

AI Thread Summary
The discussion focuses on calculating the acceleration and final velocity of an electron in a cathode-ray tube. The acceleration was determined to be 6.15*10^15 m/s^2, which aligns with the answer book. Participants discuss the challenge of finding final velocity without knowing the time, emphasizing that distance alone is insufficient. They suggest using the equation (v2)^2 = (v1)^2 + 2ad to relate acceleration, distance, and final velocity. The conversation concludes with an acknowledgment of the methods to derive the final velocity through kinetic energy principles.
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An electron has a mass of 9.1*10^-31 kg. Between the electrodes of a cathode-ray tube, it moves a distance of 4.0mm, accelerated by a net electrical force of 5.6*10^-15 N. Assuming it started by rest, find it's acceleration and final velocity.

I found the acceleration to be 6.15*10^15 m/s^2, which is confirmed by the answer book, but how can I get the final velocity without change in time? distance don't help at all if I don't know average velocity...
 
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u have accel, v1, and distance
use (v2)^2= (v1)^2 + 2ad
 
404 said:
An electron has a mass of 9.1*10^-31 kg. Between the electrodes of a cathode-ray tube, it moves a distance of 4.0mm, accelerated by a net electrical force of 5.6*10^-15 N. Assuming it started by rest, find it's acceleration and final velocity.

I found the acceleration to be 6.15*10^15 m/s^2, which is confirmed by the answer book, but how can I get the final velocity without change in time? distance don't help at all if I don't know average velocity...

Force times distance in the direction of the force is work, and that equals change in kinetic energy.

Edit
OOPs.. two suggestions flying at the same time. They both lead to the same conclusion.
 
Ok I see, thanks.
 
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