A 0.00275-kilogram air inflated balloon is given an excess negative charge, q1 =

Question

A 0.00275-kilogram air inflated balloon is given an excess negative charge, q1 = -3.50 × 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 = 0.0600 m 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/(4 0) = 8.99 × 109 N·m2/C2 and the acceleration due to gravity g = 9.81 m/s2.

A)   q2 is proton, negative, neutral, or positive?

B)   q2 = ______ C

Explanation / Answer

Here ,

A) as the charge on the rod must be attrached by the ballon

hence , the charge on the rod is positive

B) let the charge on the rod is q2

balanicng the forces

F = k * q1 * q2/d^2

0.00275 * 9.8 = 9 *10^9 * 3.5 *10^-8 * q2/.060^2

solving for q2

q2 = 3.08 *10^-7 C

the charge q2 is 3.08 *10^-7 C

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