A body of mass `m = 3.513 kg` is moving along the x-axis with a speed of `5.00ms^(-1)`. The magnetude of its momentum is recorded as

Options

A. 17.6 kg m/s
B. 17. 565 kg - m//s
C. 17.56 kg - m/s
D. 17.57 kg - m/s

Explanation

To find the magnitude of momentum of a body, we can use the formula for momentum, which is given by:

\[ p = m \cdot v \]

where:
- \( p \) is the momentum,
- \( m \) is the mass of the body,
- \( v \) is the velocity (or speed in this case).

### Step-by-Step Solution:

1. **Identify the given values:**
- Mass \( m = 3.513 \, \text{kg} \)
- Speed \( v = 5.00 \, \text{m/s} \)

2. **Substitute the values into the momentum formula:**
\[ p = 3.513 \, \text{kg} \times 5.00 \, \text{m/s} \]

3. **Perform the multiplication:**
\[ p = 3.513 \times 5.00 = 17.565 \, \text{kg m/s} \]

4. **Determine the significant figures:**
- The mass \( 3.513 \) has 4 significant figures.
- The speed \( 5.00 \) has 3 significant figures.
- Therefore, the final answer should be rounded to 3 significant figures.

5. **Round the result:**
- The value \( 17.565 \) rounded to 3 significant figures is \( 17.6 \, \text{kg m/s} \).

### Final Answer:
The magnitude of the momentum is \( 17.6 \, \text{kg m/s} \).

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