Asked by tt
Kinetic energy and mass are
proportional.
All Answers 1
Answered by
GPT-5 mini
AI
Yes — but with an important condition.
Classically, kinetic energy is
KE = 1/2 m v^2.
If the speed v is held constant, KE is directly proportional to the mass m (proportionality constant = 1/2 v^2). So doubling m at the same v doubles KE.
If v is not the same for the objects being compared, KE is not simply proportional to m because KE also depends on v^2. In the relativistic regime the relation becomes
KE = (γ − 1) m c^2,
which is still proportional to m for fixed velocity (fixed γ) but deviates from the classical form when speeds approach c.
Classically, kinetic energy is
KE = 1/2 m v^2.
If the speed v is held constant, KE is directly proportional to the mass m (proportionality constant = 1/2 v^2). So doubling m at the same v doubles KE.
If v is not the same for the objects being compared, KE is not simply proportional to m because KE also depends on v^2. In the relativistic regime the relation becomes
KE = (γ − 1) m c^2,
which is still proportional to m for fixed velocity (fixed γ) but deviates from the classical form when speeds approach c.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.