To determine which of the responses correctly shows momentum being calculated using the formula \( P = mv \), we will calculate the momentum \( P \) for the mass \( m = 9 \) kg and velocity \( v = 5 \) m/s.
Using the formula:
\[ P = mv = (9 , \text{kg}) \times (5 , \text{m/s}) = 45 , \text{kg} \cdot \text{m/s} \]
Now, let's evaluate the responses:
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\( 14 , \text{kg} \cdot / s = (9 , \text{kg}) (5 , \text{m/s}) \) → This is incorrect.
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\( 4 , \text{kg} \cdot m / s = (9 , \text{kg}) (5 , \text{m/s}) \) → This is incorrect.
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\( 45 , \text{N} = (9 , \text{kg}) (5 , \text{m/s}) \) → This is incorrect because N (Newtons) is a unit of force, not momentum.
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\( 45 , \text{kg} \cdot m/s = (9 , \text{kg}) (5 , \text{m/s}) \) → This is correct.
The correct response is:
45 kg*m/s=(9 kg) (5 m/s)