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. (a) `17.6kgms^(-1)`
B. (b) `17.565kgms^(-1)`
C. (c) `17.56kgms^(-1)`
D. (d) `17.57kgms^(-1)`

Explanation

To find the magnitude of the 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 of the body.

### Step-by-Step Solution:

1. **Identify the mass and velocity**:
- The mass \( m \) of the body is given as \( 3.513 \, \text{kg} \).
- The velocity \( v \) of the body is given as \( 5.00 \, \text{m/s} \).

2. **Substitute the values into the momentum formula**:
- Using the formula \( P = m \cdot v \), we substitute the known values:
\[ P = 3.513 \, \text{kg} \cdot 5.00 \, \text{m/s} \]

3. **Calculate the momentum**:
- Performing the multiplication:
\[ P = 3.513 \times 5.00 = 17.565 \, \text{kg m/s} \]

4. **Round to appropriate significant figures**:
- Since the mass is given to three decimal places and the velocity to three significant figures, we can round the momentum to three significant figures:
\[ P \approx 17.6 \, \text{kg m/s} \]

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

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