[填空题]
A force of 10.0 ± 0.2 N is applied to a mass (mjpn6/ 9bhyxsd)h k8tu y. f:of 2.0 ± 0.01 kf(2o w0honjt at-u2+p g, causing it to accelerate. What is the pernj (oa -0o2wf tth2pu+centage 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 cayf 6e c(qstk9ob*n5 vq5axn7-lculated 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 $7 \%$.