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 ms^(-1)`
B. `17.565 kg ms^(-1)`
C. `17.56 kg ms^(-1)`
D. `17.57 kg ms^(-1)`

Answer

To find the magnitude of momentum of the 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 of the body.

### Step-by-step Solution:

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

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

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

4. **Round to three significant figures** (as the mass is given to three significant figures):
\[ P \approx 17.6 \, \text{kg m/s} \]

5. **State the final answer**:
The magnitude of the momentum is \( 17.6 \, \text{kg m/s} \).

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