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A tiny, 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.

User Myrl
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1 Answer

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Answer:

2.12 × 10⁻⁷ C

Step-by-step 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:


F=(kQq)/(r^2)

where,

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

on substituting the values in the formula, we get


0.0130=(9*10^9*10.9*10^(-9)*\q)/(0.04^2)

or

q = 2.12 × 10⁻⁷ C

User Topxebec
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