[填空题]
A force of 10.0 ± 0.2 N is appvatp./:q d. fg4fu gitd/4+g zgy;r.vlied to a masxaz yv3xp 1pw5bob2 ,6 4m:uxss of 2.0 ± 0.01 kg, causing it to accelerate. What ixbyvxw5 u b3 sp61az4o m:2xp,s 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 calculated using the formula:)q cw;a1w l/tp;/) bof9djogg $$ a=\frac{F}{m} $$ 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