[填空题]
A force of 10.0 ± 0.2 N is applied to a mass;: prdxl0 w:ig of i cilh904 tdao*.s6vfqt0w,k2.0 ± 0.01 kg, causing it to accelerate. What is the percentage uncertainty of its accel4vsicot 6wk t ., 9hqif00da*leration? % (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 u mk4*,r 3uai ju-mp2 od/g4m.gio0escsing 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