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.)

Expert's answer

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

F=kq1⋅q2r2F=k\frac{q_1\cdot q_2}{r^2} where k=9×109N⋅m2⋅C−2k=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=9⋅109Nm2C−2−8.0C⋅8.0C(0.05)2m2=−2.3⋅1014NF=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 2.3⋅1014N2.3\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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