l Help (14%) Problem 7: Two air-filled balloons each have a mass of m-3.8 g. Eac
ID: 1577339 • Letter: L
Question
l Help (14%) Problem 7: Two air-filled balloons each have a mass of m-3.8 g. Each balloon hangs from the same point by its own string of length L-0.49 m. Each balloon is rubbed to give it a static charge. Both balloons are rubbed the same amount, so each balloon has the same unknown charge (91-92). The hanging balloons push away until each makes and angle of /8" with respect to the vertical. 33% Part (a) Choose the best Full Body Diagram of the LEFT balloon A 33% Part (b) write an expression for the magnitude of the repulsive force required to keep the left balloon in this position. Grade Summary Deductions 100% Potential Submissions cos() sin() | | cos() sin() | | cos(0) sin() 1 (3% per attempt) detailed view 0 I give up! 3 tude of the charge, in coulombs, on either one of the balloons. Remember that each balloon has the 33% Part (c) Determine the magni same charge. (qi 42)Explanation / Answer
(b)
The net force along x axis
Fx = T sin thets - Fe = 0
T sin theta = Fe
Fy = T cos theta - mg = 0
T cos theta = mg
Fe/ mg = = T sin theta/ Tcos theta =
Fe = mg tan theta
(c)
sin theta = a/L
a= L sin theta
q= sqrt Fr^2/ k
= sqrt Fe ( 2a)^2/ k
= sqrt mg tan theta ( 2L sin theta)^2/ k
= sqrt (3.8 * 10^-3 ( 9.8) tan18 ( 2( 0.49 sin 18)^2/ 9 * 10^9
= 3.51 * 10^-7 C
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