The electric force between two charged vinyl balloons is 3.0 × 10-3 newtons. If the distance between them is 6.0 × 10-2 meters and the charge of one vinyl balloon is 3.3 × 10-8 coulombs, what is the charge on the other vinyl balloon? (k = 9.0 × 109 newton·meter2/coulombs2)

A3.3 × 10-8 coulombs

B3.6 × 10-6 coulombs

C4.8 × 10-8 coulombs

D6.0 × 10-8 coulombs

E3.3 × 10-3 coulombs

We use the equation expressed as:

F= kQq/(r^2)

where k is equal to 9.0 × 109 newton·meter2/coulombs2, Q is the charge of one particle, q is the charge of the other particle and r is the distance between them.

3.0 × 10^-3 = 9.0 × 10^9( 3.3 × 10-8 coulombs ) q / (6.0 × 10-2)²
q = 3.3 × 10-8 coulombs

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shirleywashington shirleywashington · Answer 2 · 2019-05-28T01:09:55-04:00

Answer:

Charge on other vinyl balloon is, \(q_2=3.3\times 10^{-8}\ C\)

Explanation:

It is given that,

Electric force between two charged vinyl balloons, \(F=3\times 10^{-3}\ N\)

Distance between balloons, \(d=6\times 10^{-2}\ m\)

Charge on one vinyl balloon, \(q_1=3.3\times 10^{-8}\ C\)

We have to find the charge on another balloon. It can be calculated using the formula for electrostatic force. It is given by :

\(F=k\dfrac{q_1q_2}{r^2}\)

\(q_2=\dfrac{Fr^2}{kq_1}\)

\(q_2=\dfrac{3\times 10^{-3}\times (6\times 10^{-2})^2}{9\times 10^9\times 3.3\times 10^{-8}}\)

\(q_2=3.3\times 10^{-8}\ C\)

Hence, the correct option is (A).