Calculate the mass of particle 2

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To calculate the mass of particle two (m2), use Newton's second law, F = ma, where the force (F) can be derived from the known mass (m1) and acceleration (a1) of the first particle. The same force acts on both particles, allowing the equation a2 = F/m2 to be applied for the second particle. For determining the magnitude of the charge (q) on each particle, Coulomb's Law, F = kq1q2/r^2, is relevant, noting that q1 and q2 are equal in magnitude but opposite in sign. The relationship between the forces and charges can be established since q1 = -q2. This approach provides a systematic method to solve for both m2 and q.
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Homework Statement


Two point-like particles are placed a distance, d, apart and are
given equal and opposite charge. The first particle, of mass m1, has
an initial acceleration of a1 toward the second particle.

a)Calculate the mass of particle two, m2, if it has an initial acceleration of a2.
b)What is the magnitude of the charge, q, on each particle?


Homework Equations


I am pretty sure I would be a=F/m
Coulombs law F=kq1q2/r^2

The Attempt at a Solution


So we arent supposed to actually have numbers to this, we just need to write like what equation we use and why we use it and stuff like that.
For part a, we would just use a=F/m (cant remember what the name of the equation is if you can help me with that too). but since we know what m1 and a1 are we use that to find F. Then we just use that F since it would be the same for both (at least I think) and we know what a2 is. so it would just be a2/F=m2. Right?
then for part b i am just not really sure. I know that we would want to use Coulomb's Law to find it. so F=kq1q2/r^2. but since we don't know either charge i am just confused
 
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Hi shimizua! :smile:

(try using the X2 and X2 tags just above the Reply box :wink:)
shimizua said:
For part a, we would just use a=F/m (cant remember what the name of the equation is if you can help me with that too).

That's good ol' Newton's second law … F = ma. :wink:
but since we know what m1 and a1 are we use that to find F. Then we just use that F since it would be the same for both (at least I think) and we know what a2 is. so it would just be a2/F=m2. Right?

Right. :smile:
then for part b i am just not really sure. I know that we would want to use Coulomb's Law to find it. so F=kq1q2/r^2. but since we don't know either charge i am just confused

But you know q1 = -q2, and you've just found F. :wink:
 
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