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what must be the distance between two 0.800 kg balls if the magnitude of the gravitational between them is equal to that in sample problem C?

1.25 x10^{22} kg 1.20 x 10^{6} m


Sagot :

The distance between the two balls at the given force is 0.7 m.

The given parameters;

  • mass of each ball, m = 0.8 kg
  • gravitational force between the balls from sample problem C, F = 8.92 x 10⁻¹¹ N

The distance between the balls is calculated by applying Coulomb's law as shown below;

[tex]F = \frac{Gm^2}{r^2} \\\\r^2 = \frac{Gm^2}{F} \\\\r = \sqrt{\frac{Gm^2}{F} } \\\\r = \sqrt{\frac{(6.67\times 10^{-11}) \times (0.8)^2}{8.92 \times 10^{-11}} } \\\\r = 0.7 \ m[/tex]

Thus, the distance between the two balls is 0.7 m.

Learn more about Coulomb's law here: https://brainly.com/question/14270204