Atiny, glass sphere has a charge of +10.9 nc. a metal ball bearing, which is 4.00 cm above the glass sphere, experiences an electric force of magnitude 0.0130 n. what is the ball bearing's charge? assume it is positive.

2.12 × 10⁻⁷ C

Explanation:

Given:

Charge on the glass sphere, Q = 10.9 nC = 10.9 × 10⁻⁹ C

Distance between the glass and the metal sphere, r = 4.0 cm = 0.04 m

Force experienced by the metal sphere, F = 0.0130 N

let the charge on the metal sphere be 'q'

Now,

the force due to a charge on the other charge is given as:

where,

k is the coulomb's constant = 9 × 10⁹ N.m²/C²

on substituting the values in the formula, we get

or

q = 2.12 × 10⁻⁷ C

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