The momentum of an object is 50 kg `ms^(-1)` and its mass is 10 kg. What is the velocity of the object?

Options

A. 5 `ms^(-2)`
B. `0.5 ms^(-2)`
C. `0.5 ms^(2)`
D. `5 ms^(-1)`

Answer

To solve the problem, we need to find the velocity of an object given its momentum and mass. The formula for momentum (p) is:

\[ p = m \cdot v \]

where:
- \( p \) is the momentum,
- \( m \) is the mass,
- \( v \) is the velocity.

### Step-by-step Solution:

1. **Identify the given values**:
- Momentum (\( p \)) = 50 kg m/s
- Mass (\( m \)) = 10 kg

2. **Write the formula for momentum**:
\[ p = m \cdot v \]

3. **Rearrange the formula to solve for velocity (\( v \))**:
\[ v = \frac{p}{m} \]

4. **Substitute the known values into the formula**:
\[ v = \frac{50 \, \text{kg m/s}}{10 \, \text{kg}} \]

5. **Perform the calculation**:
- The units of kg cancel out:
\[ v = \frac{50}{10} \, \text{m/s} \]
\[ v = 5 \, \text{m/s} \]

6. **Conclusion**:
The velocity of the object is **5 m/s**.