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:
-
Object A:
- Mass: 0.005 kg
- Velocity: 10 m/s
- Momentum \( p_A = 0.005 , \text{kg} \times 10 , \text{m/s} = 0.050 , \text{kg m/s} \)
-
Object B:
- Mass: 0.008 kg
- Velocity: 5 m/s
- Momentum \( p_B = 0.008 , \text{kg} \times 5 , \text{m/s} = 0.040 , \text{kg m/s} \)
-
Object C:
- Mass: 0.010 kg
- Velocity: 3 m/s
- Momentum \( p_C = 0.010 , \text{kg} \times 3 , \text{m/s} = 0.030 , \text{kg m/s} \)
-
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.