phys A 2.90-gram air inflated balloon is given an excess negative charge, q1 = -

Question

phys A 2.90-gram air inflated balloon is given an excess negative charge, q1 = -4.00 x 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 = 7.40 cm to make the balloon float. In order for this to occur, what polarity of charge must the rod possess? How much charge, q2, does the rod have? Assume the balloon and rod to be point charges. The Coulomb force constant is 1/(4pi epsilon0) = 8.99 x10^9 N.m^2/C^2 and the acceleration due to gravity g = 9.81 m/s^2.

Explanation / Answer

first

F = k * q1 * q2 /r^2

F = mass * acceleration

m * a = k * q1 * q2 / r^2

q2 = m * a * r^2 / k * q1

q2 = (0.0029 * 9.81 * 0.074^2 ) / (8.99 * 10^9 * 4 * 10^-8)

q2 = 433 * 10^-9 C

the q2 charge is 433 nC

and the charge is positive

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