The mass of a goods lorry is 4000 kg and the mass of goods loads on it is 20,000 kg. If the lorry is moving with a velocity of 2 m//s, then what will be its momentum?

Options

A. 10000 kg-m/s
B. 24000 kg-m/s
C. 48000kg-m/s
D. 64000 kg-m/s

Answer

To solve the problem of finding the momentum of the lorry with its load, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Mass of the Lorry and the Load:**
- The mass of the goods lorry (M1) = 4000 kg
- The mass of the goods load (M2) = 20,000 kg

2. **Calculate the Total Mass:**
- The total mass (M_total) of the system (lorry + load) can be calculated as:
\[ M_{total} = M1 + M2 = 4000 \, \text{kg} + 20000 \, \text{kg} = 24000 \, \text{kg} \]

3. **Identify the Velocity:**
- The velocity (v) of the lorry is given as:
\[ v = 2 \, \text{m/s} \]

4. **Use the Momentum Formula:**
- The formula for momentum (P) is given by:
\[ P = M_{total} \times v \]

5. **Substitute the Values:**
- Now substitute the total mass and velocity into the momentum formula:
\[ P = 24000 \, \text{kg} \times 2 \, \text{m/s} = 48000 \, \text{kg m/s} \]

6. **Final Result:**
- Therefore, the momentum of the lorry with its load is:
\[ P = 48000 \, \text{kg m/s} \]