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The percentage errors in the measurement of mass and speed are 2% and 3% respectively. The error in kinetic energy obtained by measuring mass and speed will be:
- 12%
- 10%
- 8%
- 2%
Correct answer: 10%
Solution
Kinetic energy is proportional to mass (m) and the square of speed (v²). The percentage error in kinetic energy is given by the sum of the percentage error in mass and twice the percentage error in speed: 2% + 2(3%) = 10%.
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