To find the electric field experienced by the charged balloon, we can use the formula for the electric field [tex]\( E \)[/tex], which is given by:
[tex]\[ E = \frac{F}{q} \][/tex]
where:
- [tex]\( F \)[/tex] is the force experienced by the charged object,
- [tex]\( q \)[/tex] is the charge on the object.
From the question, we have:
- The charge on the balloon, [tex]\( q = 9.4 \times 10^{-10} \)[/tex] coulombs,
- The force experienced by the balloon, [tex]\( F = 8.2 \times 10^{-2} \)[/tex] newtons.
Substituting these values into the formula, we have:
[tex]\[ E = \frac{8.2 \times 10^{-2}}{9.4 \times 10^{-10}} \][/tex]
When we perform this division, we get:
[tex]\[ E \approx 87234042.55319147 \][/tex] newtons per coulomb (N/C).
This is approximately equal to:
[tex]\[ E \approx 8.7 \times 10^7 \][/tex] N/C.
Therefore, the correct answer is:
A. [tex]\( 8.7 \times 10^7 \)[/tex] newtons per coulomb.
