Step 1: Use the formula for momentum
Momentum \( p \) is given by the formula:
\[
p = m v
\]
where:
- \( m \) is the mass of the body,
- \( v \) is the velocity of the body.
Step 2: Substitute the given values
We are given:
- Mass \( m = 5 \, \text{kg} \),
- Velocity \( v = 15 \, \text{m/s} \).
Substitute these values into the formula:
\[
p = 5 \times 15 = 75 \, \text{kg} \cdot \text{m/s}
\]
Answer: Therefore, the momentum of the body is \( 75 \, \text{kg} \cdot \text{m/s} \). So, the correct answer is option (1).