A body of mass 100 g is moving with a velocity of 15 m/s. The momentum associated with the ball will be

Options

A. 0.5 kg m/s
B. 1.5 kg m/s
C. 2.5 kg m/s
D. 3.2 Ns

Answer

To find the momentum associated with a body of mass 100 g moving with a velocity of 15 m/s, we can follow these steps:

### Step-by-Step Solution:

1. **Convert Mass from Grams to Kilograms**:
- The mass of the body is given as 100 g. Since the standard unit of mass in physics is kilograms (kg), we need to convert grams to kilograms.
- Conversion:
\[ \text{Mass in kg} = \frac{100 \text{ g}}{1000} = 0.1 \text{ kg} \]

2. **Identify the Velocity**:
- The velocity of the body is given as 15 m/s. This value is already in the correct unit (meters per second).

3. **Use the Formula for Momentum**:
- The formula for momentum (p) is given by:
\[ p = \text{mass} \times \text{velocity} \]

4. **Substitute the Values**:
- Now we can substitute the mass and velocity into the momentum formula:
\[ p = 0.1 \text{ kg} \times 15 \text{ m/s} \]

5. **Calculate the Momentum**:
- Performing the multiplication:
\[ p = 1.5 \text{ kg m/s} \]

6. **State the Final Answer**:
- The momentum associated with the ball is:
\[ \text{Momentum} = 1.5 \text{ kg m/s} \]