Step 1: Use the formula for momentum
The momentum \( p \) of an object is given by:
\[
p = m v
\]
where:
- \( m \) is the mass of the object,
- \( v \) is the velocity of the object.
Step 2: Substitute the given values
Given:
- Mass \( m = 10 \, \text{kg} \),
- Velocity \( v = 5 \, \text{m/s} \).
Substitute these values into the formula:
\[
p = 10 \times 5 = 50 \, \text{kg} \cdot \text{m/s}
\]
Answer: Therefore, the momentum of the object is \( 50 \, \text{kg} \cdot \text{m/s} \). So, the correct answer is option (1).