In the context of linear momentum, an increase in which of the following quantities will result in an increase in the momentum of an object, assuming all other factors remain constant? $p=mv$

• A. Temperature
• B. Gravitational potential energy
• C. Acceleration
• D. $mass$

Answer: (D)

Verified step by step guidance

1. Recall the formula for linear momentum: \(p = m \times v\), where \(p\) is momentum, \(m\) is mass, and \(v\) is velocity.
2. Understand that momentum depends directly on mass and velocity. If either mass or velocity increases (while the other remains constant), momentum increases.
3. Analyze each given quantity: Temperature does not directly affect mass or velocity in this context, so it does not directly increase momentum.
4. Gravitational potential energy depends on height and mass but does not directly affect velocity or mass in the momentum formula, so it does not directly increase momentum.
5. Acceleration affects velocity over time, but an increase in acceleration alone does not immediately increase momentum unless it changes velocity. The quantity that directly increases momentum when increased, assuming other factors constant, is mass.