[填空题]
A force of 10.0 ± 0.*c q, x+* st0pw,1ujcri e,ftt2 h4wg/7uqafryg 5r- .*k9( wx/fekwbaN is applied to a mass of 2.0 ± 0.01 kg, causing it to accelerate. What is the percentage uncertainty of its accele(kh wkgyfb q5/g4 wx ura9-wf/r.*7aeration? % (do not include the percent sign in your result)
参考答案: 2.50
本题详细解析: The acceleration is calculated usixj :t(0)mxwdus 8zt s*n1gk*e ng 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 $7 \%$.
Post time 2024-8-21 21:38:19