Asked in PMC Practice Test 29 (2021) 2021

If mass and speed both are doubled kinetic energy wil

Correct answer: C. increases 8 times

  • A. increases 4 times
  • B. increases 6 times
  • C. increases 8 times
  • D. increases 10 times

Explanation

The kinetic energy of an object is given by the formula: KE = ½ mv²If both mass (m) and speed (v) are doubled, the new kinetic energy (KE') can be calculated as follows: KE' = ½ (2m)(2v)² = ½ × 2 × 4 mv² = 8 (½ mv²) KE' = 8 (KE)Therefore, when both mass and speed are doubled, the kinetic energy increases by 8 times.

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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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