If P is the momentum of an object and m is its mass, then its kinetic energy is:
Correct answer: B. P2/2m
- A. P/2m
- B. P2/2m
- C. 1/2 Pm2
- D. 1/2 P2m
Explanation
Kinetic energy is half mv squared and momentum is mv, so substituting v equal to P over m gives half m multiplied by P squared over m squared, which simplifies to P squared over 2m. A quick check is that energy must rise with the square of momentum, which only the second option does. This relation is used constantly in collision and de Broglie problems.
This question appeared on the UHS MDCAT 2025 paper, which you can sit online with every answer explained.
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About Kinetic Energy
Kinetic energy is the energy of motion, given for a nonrelativistic object by K = ½mv², so it depends on mass and the square of speed. Questions connect kinetic energy with work through the work energy theorem, calculate changes in kinetic energy, and distinguish it from momentum and potential energy.
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