A 0.00215-kilogram air inflated balloon is given an excess negative charge, q_1

Question

A 0.00215-kilogram air inflated balloon is given an excess negative charge, q_1 = -3.75 Times 10^-8 C, by rubbing it with a blanket. It is found that a charged rod can be held above the balloon at a distance of d = 0.0680 m to make the balloon float. In order for this to occur, what polarity of charge must the rod possess? How much charge, q_2, does the rod have? Assume the balloon and rod to be point charges. The Coulomb force constant is 1/(4 pi epsilon_0) = 8.99 Times 10^9 N middot m^2/C^2 and the acceleration due to gravity g = 9.81 m/s^2. q_2 is negative positive proton neutral

Explanation / Answer

a) The force has to be attrative, so +ve charge
b) k(q1q2)/0.06^2 = 0.000215*9.8
q2 = 2.8931*10^-7 C

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