Respuesta :
We are given the following information
Mass of objects: m = 4.72 kg
Distance between objects: r = 3.12 m
Charge: q = 85.5 μC
We are asked to find the initial acceleration of each mass.
Recall from Newton's second law of motion,
[tex]F=m\cdot a[/tex]Where F is the force between two masses, m is the mass, and a is the acceleration.
First, let us find the force between the two masses.
Recall from Coulomb's law,
[tex]F=\frac{k\cdot q_1\cdot q_2}{r^2}[/tex]Where k is the Coulomb's law constant that is k = 9×10⁹ Nm²/C²
Substitute the given values into the above formula
[tex]\begin{gathered} F=\frac{9\times10^9\cdot85.5\times10^{-6}\cdot85.5\times10^{-6}}{3.12^2} \\ F=6.7587\;N \end{gathered}[/tex]Finally, the initial acceleration of each mass is
[tex]\begin{gathered} F=m\cdot a \\ a=\frac{F}{m} \\ a=\frac{6.7587}{4.72} \\ a=1.43\;\frac{m}{s^2} \end{gathered}[/tex]Therefore, the initial acceleration of each mass is 1.43 m/s^2
