Question #103729
A balloon rubbed against denim gains a charge of -8.0C. What is the electric force between the balloon and the denim when the two are separated by a distance of 5.0 cm? (Assume that the charges are located at a point.)
1
Expert's answer
2020-02-25T10:22:17-0500

The quantity of electrostatic force between point charges is described by Coulomb's law.

F=kq1q2r2F=k\frac{q_1\cdot q_2}{r^2} where k=9×109Nm2C2k=9×10^9 N⋅m^2⋅C^{−2} , r=5.0cm=0.05mr=5.0cm=0.05m

When electrified by friction, two bodies exchange charges. So there was a charge left on the denim +8.0C.

F=9109Nm2C28.0C8.0C(0.05)2m2=2.31014NF=9\cdot 10^9Nm^2C^{-2} \frac{-8.0C \cdot 8.0C}{(0.05)^2 m^2}=-2.3\cdot 10^{14}N

Answer: The electric attractive force between the balloon and the denim is 2.31014N2.3\cdot 10^{14}N  

PS: It is possible that the value of the charge is incorrectly specified in the problem condition, which is why such a large force is obtained.

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Comments

Prince Gorson
30.09.21, 20:08

Yeah, thanks. The result was accurate I appreciate..

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