If the linear momentum changes by 10%, the kinetic energy will change by
Correct answer: D. 20%
- A. 10%
- B. 50%
- C. 100%
- D. 20%
Explanation
The relationship between kinetic energy (K.E) and linear momentum (p) is given by the formula K.E = p²/2m. When linear momentum changes by a certain percentage, the kinetic energy changes by the square of that percentage change. Here, a 10% change in momentum leads to a 20% change in kinetic energy, as K.E is proportional to the square of momentum.Other options are incorrect because:10%: This assumes a direct linear relationship, which does not apply here. 50%: This option is a larger miscalculation that does not follow the proportionality rule.100%: This incorrectly suggests that the change in kinetic energy would be equal to the change in momentum, ignoring the squared relationship.
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Work transfers energy when a force causes displacement, while kinetic energy, gravitational potential energy and power describe motion, position and the rate of energy transfer. The work-energy theorem links net work with change in kinetic energy, and efficiency accounts for energy losses rather than treating them as energy destruction.
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