Question

p = mv
which of the following correctly shows momentum being calculated?
(1 point)
○ 45 n = (9 kg) (5 m/s)
○ 14 kg * /s = (9 kg) (5 m/s)s
○ 4 kg * m/s = (9 kg) (5 m/s)
○ 45 kg * m/s = (9 kg) (5 m/s)

Explanation:

Step1: Recall momentum formula units

Momentum \( P = mv \), units: \( \text{kg} \times \text{m/s} = \text{kg·m/s} \).

Step2: Analyze each option

• Option 1: \( 45\,\text{N} = (9\,\text{kg})(5\,\text{m/s}) \). \( \text{N} = \text{kg·m/s}^2 \), not momentum units. Eliminate.
• Option 2: \( 14\,\text{kg/s} = (9\,\text{kg})(5\,\text{m/s})s \). Units don't match momentum. Eliminate.
• Option 3: \( 4\,\text{kg·m/s}

eq (9\,\text{kg})(5\,\text{m/s}) \) (since \( 9\times5 = 45 \)). Eliminate.

• Option 4: \( 45\,\text{kg·m/s} = (9\,\text{kg})(5\,\text{m/s}) \). Calculate \( 9\times5 = 45 \), units match momentum. Correct.

Answer:

45 kg * m/s = (9 kg) (5 m/s)