Question

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)
A. 3.3 × 10-8 coulombs

B. 3.6 × 10-6 coulombs

C. 4.8 × 10-8 coulombs

D. 6.0 × 10-8 coulombs

E. 3.3 × 10-3 coulombs

Answer 1

We use the equation expressed as:

F= k*Q*q/(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

Answer 2

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).