When momentum of the body increased by 200%, its kinetic energy increases by _.
Correct answer: D. 800%
- A. 200%
- B. 300%
- C. 400%
- D. 800%
Explanation
Kinetic Energy can also be expressed as p2/2m. Hence, KE is directly proportional to the square of momentum. So if momentum was 100% before, and increases by 200%, it now becomes 300%. Therefore Kinetic Energy will become (300%)2 which is equal to 900%. So if KE was 100% before, and now becomes 900%, it must have increased by 800%. Hence, Option D is correct.
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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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