Question

Assume 10,000 electrons were transferred from your hair to the balloon. a.What is the charge in Coulombs on the balloon? b.What is the charge in Coulombs on your hair? c.Calculate the amount of electric force if the balloon is held 1 centimeter from your hair, while both are charged.

Answer 1

a. the charge on the balloon is -1.602^-15 C

b. the charge on the hair is 1.602^-15 C

c. the force is -2.3*10^-16 N

Step-by-step explanation:

a. 1 electron has charge of -1.602*10^-19 C

10,000 then has a charge of 10000*-1.602*10^-19 = -1.602^-15 C

b. The charge gained by the balloon is equal in measure but with the opposite sign to the change in the hair

c. From Coulomb's law the force is:

F = k*q1*q2/r²

where k = 9×10^9 N*m²/C², q1 and q2 are the charges, and r is the distance (in meters). Replacing with data:

F = 9×10^9*-1.602^-15*1.602^-15/0.01²

F = -2.3*10^-16 N