Question

The percentage error in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum percentage error in the estimate of kinetic energy obtained by measuring mass and speed –

• A. 11%
• B. 8%
• C. 5%
• D. 4%

Answer 1

Answer: (B)

8%

Answer 2

$\frac{\Delta k}{k} \times 100$ = $\frac{\Delta m}{m} \times 100 + 2\frac{\Delta v}{v} \times 100$

= 2% + 2× 3% = 8%