[填空题]
A force of 10.0 ± 0.2 N i 7fwpo-, nysx eq5y;y9;.fxw is applied7b)7ck l1upg)):audw ktt,yy to a mass of 2.0 ± 0.01 kg, causing it to accelerate. What is the percentabp)d c ylu )71g:au ,ytt)kk7wge 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 mv , koxi5h5j9;qdmu(9rj6d x 1fuq,c calculated 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 $7 \%$.