Question

Two equally charged spheres of mass 1.00 g are placed 2.00 cm apart. When released, the initial acceleration of each sphere is 256 m/s2 . What is the magnitude of the charge on each sphere? You may assume that the only force acting on each sphere is the electric force due to the other sphere.

Answer 1

Answer:

$q = 0.107 \mu C$

Explanation:

As we know that net force is given by

$F = ma$

here we have

m = 1.00 g = 0.001 kg

also we know that acceleration is given as

$a = 256 m/s^2$

now force is given as

$F = 0.001(256) = 0.256 N$

now by the formula of force we know that

$F = \frac{kq_1q_2}{r^2}$

$0.256 = \frac{(9\times 10^9)q^2}{(0.02)^2}$

now for solving charge we have

$q = 0.107 \mu C$