Two 0.476 kg masses are 1.494 m apart on a frictionless table. Each has 19.39 microCoulombs of charge. What is the initial acceleration of each mass if they are released and allowed to move?

Respuesta :

We will have the following:

We will have that the electrostatic force:

[tex]EF=\frac{kc_1c_2}{d^2}[/tex]

Now, for all SI units we will have that the constant is almost exactly 9*19^9 m/farad; so the force on each mass will be:

[tex]\begin{gathered} (9\ast10^9)(1\ast10^{-6})(1\ast10^{-6})/(1.494)^2=\frac{1}{166}N \\ \\ \approx6.02\ast10^{-3}N \end{gathered}[/tex]

Now, we find the acceleration; that is:

[tex]\begin{gathered} \frac{1}{166}N=(0.476kg)\alpha\Rightarrow\alpha=\frac{125}{9877}m/s^2 \\ \\ \Rightarrow\alpha\approx0.0127m/s^2 \end{gathered}[/tex]

Now, we will have that if both charges have opposite signs then the acceleration of ach mass is approximately 0.0127 m/s^2 in the direction toward the other.

If both charges have the same sign, then the acceleration will be approximately 0.0127m/s^2 in the direction away from the other.