1-D Motion, calculating final velocity

AI Thread Summary
The discussion revolves around a calculation of final velocity in 1-D motion, where the user initially calculated vf as 4.7 x 10^5 m/s, while the textbook states it should be 8.7 x 10^5 m/s. The error was identified as a misunderstanding of unit conversion, specifically regarding centimeters to meters. After realizing the mistake, the user acknowledged the correction and expressed gratitude for the assistance. This highlights the importance of accurate unit conversion in physics calculations.
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Homework Statement
An electron is moving in a straight line with a velocity of 4x10^5 m/s. It enters a region 5.0 cm long where it undergoes an acceleration of
6.0x10^12 along the same straight line. (a) What is the electron’s velocity when it
emerges from this region? b) How long does the electron take to cross the region?
Relevant Equations
vf^2 = vi^2 + 2a(xf-xi)
Hello!
I have done this problem :
vf^2 = (4.0x10^5)^2 + 2(6.0x10^12)(5x10^-3)
so vf= sqrt((4.0x10^5)^2 + 2(6.0x10^12)(5x10^-3))
I get vf = 4.7 x 10^5 m/s
However, the textbook solutions says vf = 8.7x10^5 m/s.
Where did I go wrong?
Thank you for any help! :)
Screen Shot 2021-10-10 at 2.13.40 PM.png
 
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Well... how long is a cm, again ? In terms of metres, that is.

Does that get you any closer ?
 
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hmmm27 said:
Well... how long is a cm, again ? In terms of metres, that is.

Does that get you any closer ?
Oh no! Of course that changes the result haha.
Thank you so much for pointing that out :)
 
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