If velocity is doubled then__________________?
Correct answer: D. momentum increases 2 times and K.E increases 4 time
- A. momentum increases 4 times and K.E increases 2 times
- B. momentum and K.E. remain same
- C. momentum increases 2 times and K.E increases constant
- D. momentum increases 2 times and K.E increases 4 time
Explanation
Momentum is p = mv, so doubling velocity doubles momentum. Kinetic energy is K.E. = 1/2 mv2, so doubling velocity makes it 2² = 4 times larger. The likely wrong choice is c because it recognises the momentum change but incorrectly treats kinetic energy as directly proportional to velocity.
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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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