Calculating Initial Acceleration of a Charged Particle

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To calculate the initial acceleration of a charged particle, the formula used is k[(q1 * q2) / (m * r^2)], where k is Coulomb's constant. The user initially calculated the force incorrectly due to not converting the charge from microcoulombs to coulombs. After correcting the charge values, the user successfully determined the initial acceleration. The importance of ensuring correct unit conversions and squaring the distance in meters was emphasized. The discussion highlights common pitfalls in physics calculations and the value of peer assistance in problem-solving.
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A particle of mass 73 g and charge 38muC is
released from rest when it is 46 cm from a
second particle of charge -17muC.
Determine the magnitude of the initial ac-
celeration of the 73 g particle. Answer in units
of m/s^2.

Well, I used this formula:

k [(q1 * q2) / mr^2)]

8.98755*E9 [(38*17)/ ((73/1000)*(.46^2))]

edit - fixed typo

= 3.7586 * E14

But it's wrong... any help appreciated. Thanks.
 
Last edited:
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Make sure the units are correct, and square the (46 cm) or 0.46 m if using MKS.
 
Astronuc said:
Make sure the units are correct, and square the (46 cm) or 0.46 m if using MKS.

that was a typo on my part... i did indeed square it when i got the wrong answer. Anything look off to anyone?
 
I'm an idiot. I forgot to multiply the charges by mu(micro) 10^-6.

I got it now. =) Thx astronuc.
 

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