Kognity IB Physics A.0 Measurements & Uncertainty (id: 1072aa7d0)

[填空题]
A force of 10.0 ± 0.2 N 8dnbb0bkf8u m5(k4 x his applied 31nhy 1bu1 gcyteouryn8 p)4dw 8cq 5r gh-i9*to a mass of 2.0 ± 0.01 kg, causing it to acceler13poy8 g1nen9 * h-iqghd8 tc4ryy15uurw) cbate. What is the percentage uncertainty of its acceleration?   % (do not include the percent sign in your result)

参考答案: 2.50


本题详细解析:
The acceleration is cah( q9mmqrl7g3)z :vnglculated using the formula: $$ a=\frac{F}{m} $$ so the percentage uncertainty on the acceleration is the sum of the percentage error on the force and on the mass. The percentage uncertainty on the force is: $$ \frac{0.2}{10.0} \times 100 \%=2 \% $$ The percentage uncertainty on the mass is: $$ \frac{0.1}{2.0} \times 100 \%=5 \% . $$ Hence the percentage error on the acceleration will be $7 \%$.