A 2000 kg car is traveling West at 1 m/s. A small 2 Kg drone is flying East at 100 m/s. Which has the greatest momentum, and what is its magnitude and direction?

To determine which object has the greatest momentum, we calculate the momentum of each. Momentum (\(p\)) is given by:

\[
p = m \cdot v
\]

where \(m\) is the mass, and \(v\) is the velocity.

### Step 1: Calculate the momentum of the car
- Mass of the car, \(m_{\text{car}} = 2000 \text{ kg}\)
- Velocity of the car, \(v_{\text{car}} = 1 \text{ m/s}\) (West)

\[
p_{\text{car}} = 2000 \text{ kg} \times 1 \text{ m/s} = 2000 \text{ kg·m/s}
\]

Since the car is traveling West, the momentum direction is West.

### Step 2: Calculate the momentum of the drone
- Mass of the drone, \(m_{\text{drone}} = 2 \text{ kg}\)
- Velocity of the drone, \(v_{\text{drone}} = 100 \text{ m/s}\) (East)

\[
p_{\text{drone}} = 2 \text{ kg} \times 100 \text{ m/s} = 200 \text{ kg·m/s}
\]

The drone is traveling East, so its momentum direction is East.

### Step 3: Compare the magnitudes
- Momentum of the car: \(2000 \text{ kg·m/s}\) (West)
- Momentum of the drone: \(200 \text{ kg·m/s}\) (East)

The car has a significantly greater momentum, with a magnitude of \(2000 \text{ kg·m/s}\) directed West.

**Conclusion:** The car has the greatest momentum, with a magnitude of \(2000 \text{ kg·m/s}\) directed West.

Would you like a detailed explanation on momentum and collisions, or do you have any other questions?

### Relative Questions:
1. What happens to momentum when two objects collide?
2. How would the momentum change if the car’s velocity increased to 5 m/s?
3. What would be the total momentum if both objects were moving in the same direction?
4. How does mass influence an object’s momentum?
5. What is the principle of conservation of momentum?

### Tip:
Momentum is always a vector quantity, meaning it has both magnitude and direction. Make sure to account for the direction when solving momentum problems.

Determine which has greater momentum: a 2000 kg car traveling West at 1 m/s or a 2 kg drone flying East at 100 m/s. Learn how to calculate momentum and compare the magnitudes and directions using key mechanics principles. Suitable for Grades 9-12.

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