Step 1: Use the formula for kinetic energy
The formula for the kinetic energy (\( KE \)) of a body is:
\[
KE = \frac{1}{2} m v^2
\]
where:
- \( m \) is the mass of the body,
- \( v \) is the velocity of the body.
Step 2: Substitute the given values
Given:
- Mass \( m = 2 \, \text{kg} \),
- Velocity \( v = 3 \, \text{m/s} \).
Substitute these values into the formula:
\[
KE = \frac{1}{2} \times 2 \times (3)^2 = 1 \times 9 = 9 \, \text{J}
\]
Answer: Therefore, the kinetic energy of the body is 9 J. So, the correct answer is option (2).