Question

Percentage errors in the measurement of mass and speed are 2% and 3% respectively. The error in the estimation of kinetic energy obtained by measuring mass and speed will be:

• A. 8%
• B. 2%
• C. 12%
• D. 10%

Answer 1

Answer: (A)

8%

$AsK=\frac{1}{2}m{v}^2$

$\therefore \frac{\Delta K}{K}\times 100$

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

$=2$% + $(2\times 3$%) = $8$%