A total charge of 4.70 is distributed on two metal spheres. When the spheres are 10 cm apart, they each feel a repulsive force of 4.7 x 10^11 N. How much charge is on the sphere and which has the lower amount of charge?

Question

Physics

Regan Chen

1 October, 18:40

A total charge of 4.70 is distributed on two metal spheres. When the spheres are 10 cm apart, they each feel a repulsive force of 4.7 x 10^11 N. How much charge is on the sphere and which has the lower amount of charge?

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Answers (1)

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Kate Powers · Answer 1

Answer: 4,58 C and 0.12 C

Explanation: Considering the Coulomb force given by:

F = (k*q1*q2) / d^2 = (9*10^9*q1*q2) / (0.1) ^2 (1)

so replacing the given values and considering also that the total charge is 4.7C this q1+q2 = 4.7 C (2)

From (1) and (2) we can find the charges in each sphere.