The kinetic energy of a body of mass m moving with speed v is
Correct answer: B. half mv squared
- A. mv
- B. half mv squared
- C. mv squared
- D. half mv
Explanation
Because the speed is squared, doubling it quadruples the kinetic energy, which is why stopping distances grow so sharply with speed. Momentum, by contrast, is mv and only doubles. The factor of one half comes from integrating the force over the distance during acceleration from rest.
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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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