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.
Last updated
About Work and Energy
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.
Practise Work and Energy
748 free Work and Energy MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Physics questions like this
Physics is on 13 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.