Question

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instructions from the list of choices, select the one best answer.
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question 2
which one of the following statements concerning momentum is true?
momentum and impulse are measured in the same units.
momentum is a scalar quantity.
the momentum of an object is always positive.
momentum is a force.
the si unit of momentum is kg·m²/s.

Explanation:

Step1: Analyze each option

• Option 1:
• The formula for impulse \(J = F\Delta t\), and the formula for momentum \(p = mv\). From Newton's second law \(F=ma\) and \(a=\frac{\Delta v}{\Delta t}\), we have \(F\Delta t = m\Delta v\). So the units of impulse (\(N\cdot s\)) and momentum (\(kg\cdot m/s\)) are the same (\(1N = 1kg\cdot m/s^{2}\), so \(N\cdot s=kg\cdot m/s\)).
• Option 2:
• Momentum \(p = mv\) is a vector quantity because velocity \(v\) is a vector.
• Option 3:
• Since momentum is a vector, it can be positive or negative depending on the direction of velocity.
• Option 4:
• Momentum \(p = mv\) is not a force. Force \(F = ma\).
• Option 5:
• The SI unit of momentum is \(kg\cdot m/s\), not \(kg\cdot m^{2}/s\).

Answer:

Momentum and impulse are measured in the same units.