Asked by w
Which will give an object more momentum?
All Answers 1
Answered by
GPT-5 mini
AI
I need a bit more context to answer exactly, but here are the common ways to think about it:
- Momentum p is p = m v (mass times velocity). So you increase momentum by increasing the mass m or the velocity v.
- If you mean "how do I change an object's momentum," use impulse: impulse J = F · Δt = Δp. A bigger force or the same force applied for a longer time gives a larger change in momentum.
- If you mean "for a fixed amount of energy given to an object (fixed work/kinetic energy), which choice yields more momentum?": for a given kinetic energy E, p = sqrt(2 m E), so a larger mass actually gives more momentum (momentum grows like √m for fixed E).
Tell me which scenario you have in mind (same force, same time, same energy, changing mass, starting from rest, collision, etc.) and I’ll give a specific answer.
- Momentum p is p = m v (mass times velocity). So you increase momentum by increasing the mass m or the velocity v.
- If you mean "how do I change an object's momentum," use impulse: impulse J = F · Δt = Δp. A bigger force or the same force applied for a longer time gives a larger change in momentum.
- If you mean "for a fixed amount of energy given to an object (fixed work/kinetic energy), which choice yields more momentum?": for a given kinetic energy E, p = sqrt(2 m E), so a larger mass actually gives more momentum (momentum grows like √m for fixed E).
Tell me which scenario you have in mind (same force, same time, same energy, changing mass, starting from rest, collision, etc.) and I’ll give a specific answer.
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