Given:
\[
m = 2 \, \text{kg}, \quad v = 3 \, \text{m/s}
\]
Step 1: Formula for Kinetic Energy
The kinetic energy \( KE \) is given by the formula:
\[
KE = \frac{1}{2} m v^2
\]
Step 2: Substitute the values
Substitute the given values into the formula:
\[
KE = \frac{1}{2} (2) (3)^2 = 9 \, \text{J}
\]
Answer: The correct answer is option (2): 9 J.