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elena55 [62]
2 years ago
6

Two identical particles each of mass M and charge Q are placed a certain distance apart. If they are in equilibrium

Physics
1 answer:
fomenos2 years ago
5 0

Answer:

 Q / m = 8.61 10⁻¹¹ C / kg

Explanation:

For this exercise we use the gravitational force of attraction

           

     F_g = G \frac{m_1m_2}{r^2}

the electric force

     F_e = k \frac{q1q2}{r^2}

indicate that the two forces are equal

     G m₁ m₂ / r² = k q₁ q₂ / r²

they also say that the two masses are equal and the two charges are equal

     G m² = k Q²

     Q / m =  \sqrt{\frac{G}{k} }

we calculate

      Q / m = \sqrt{\frac{6.67 \ 10^{-11} }{8.99 \ 10^9} }

      Q / m = \sqrt{ 0.7419 \ 10 ^{-20}}

       Q / m = 0.861 10⁻¹⁰

       Q / m = 8.61 10⁻¹¹ C / kg

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