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

Charge on other vinyl balloon is,
`q_2=3.3* 10^(-8)\ C`

Step-by-step explanation:

It is given that,

Electric force between two charged vinyl balloons,
`F=3* 10^(-3)\ N`

Distance between balloons,
`d=6* 10^(-2)\ m`

Charge on one vinyl balloon,
`q_1=3.3* 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(q_1q_2)/(r^2)`

`q_2=(Fr^2)/(kq_1)`

`q_2=(3* 10^(-3)* (6* 10^(-2))^2)/(9* 10^9* 3.3* 10^(-8))`

`q_2=3.3* 10^(-8)\ C`

Hence, the correct option is (A).

Answer 2

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