Question

Use the table to answer the question.

Object: A, B, C, D
Mass (kg): 0.005, 0.008, 0.010, 0.003
Velocity (m/s): 10, 5, 3, 15

A student records the mass of objects A, B, C, and D. Then the velocity of each object is measured using a track and timer. Does object A, B, C, or D have the greatest momentum?

A. C

B. D

C. B

D. A

Answer 1

To determine which object has the greatest momentum, we can use the formula for momentum:

\[
\text{Momentum} (p) = \text{mass} (m) \times \text{velocity} (v)
\]

We will calculate the momentum for each object:

1. **Object A:**
- Mass: 0.005 kg
- Velocity: 10 m/s
- Momentum \( p_A = 0.005 \, \text{kg} \times 10 \, \text{m/s} = 0.050 \, \text{kg m/s} \)

2. **Object B:**
- Mass: 0.008 kg
- Velocity: 5 m/s
- Momentum \( p_B = 0.008 \, \text{kg} \times 5 \, \text{m/s} = 0.040 \, \text{kg m/s} \)

3. **Object C:**
- Mass: 0.010 kg
- Velocity: 3 m/s
- Momentum \( p_C = 0.010 \, \text{kg} \times 3 \, \text{m/s} = 0.030 \, \text{kg m/s} \)

4. **Object D:**
- Mass: 0.003 kg
- Velocity: 15 m/s
- Momentum \( p_D = 0.003 \, \text{kg} \times 15 \, \text{m/s} = 0.045 \, \text{kg m/s} \)

Now comparing the calculated momenta:

- \( p_A = 0.050 \, \text{kg m/s} \)
- \( p_B = 0.040 \, \text{kg m/s} \)
- \( p_C = 0.030 \, \text{kg m/s} \)
- \( p_D = 0.045 \, \text{kg m/s} \)

The object with the greatest momentum is **Object A** with \( 0.050 \, \text{kg m/s} \).

Therefore, the answer is **D. A**.