Question

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

• A. 11%
• B. 8%
• C. 5%
• D. 1%

Answer 1

The correct option is B 8%

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

Thus, $\frac{△KE}{KE}\times 100=\frac{△m}{m}\times 100+2\frac{△V}{V}\times 100$

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