Calculating Initial Acceleration: 63g Particle, 59μC Charge

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To calculate the initial acceleration of a 63 g particle with a 59 μC charge, Coulomb's Law is applied, resulting in a force calculation of 0.284 N. The mass must be converted to kilograms, leading to the equation 0.063a = 0.284. Upon solving for acceleration, the correct value should be 4.51 m/s^2, but there are concerns about the charge values used in the calculations. The charges should be correctly noted as 59 μC and -27 μC, rather than the incorrectly referenced values. Ensuring accurate charge values and unit conversions is crucial for obtaining the correct acceleration result.
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A particle of mass 63 g and charge 59 \mu C is released from rest when it is 71 cm from a second particle of charge -27 \mu C. Determine the magnitude of the initial acceleration of the 63 g particle. Answer in units of m/s^2.

I used Coulomb's Law, F= 1/4\pi \epsilon_o * (5.9 x10^-6 * -2.7 x 10^-6) / .71^2
I know that E_o = 8.85 x 10^-12.
Solving this gave me .284.
Then I set it equal to ma.
63 a = .284
Solving for a gave me .00451 m/s^2.
Can someone tell me what I'm doing wrong?
 
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Make sure the units are correct. If the force is in N, which it appears to be, then the mass must be in kg (0.063 kg = 63 g).

Perhaps it would be helpful to keep a chart of cgs and mks units available.
 
so if the rest of my setup is right, I get .063a= .284.
Solving for a gives me 4.51 m/s^2, which still isn't right.
Am I doing something else wrong?
 
59 microCoulombs = 59.E-6 C , not 5.9E-6 C
same for the 27 uC .
 
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