Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 2 (1 point) if the results of the force measurements are $f_1=…

Question

question 2 (1 point) if the results of the force measurements are $f_1=(14.4pm0.5) n$ and $f_2=(17.7pm0.7) n$, what is the uncertainty in the net force (in n) (dont round)? your answer: answer previous page next page page 1 of 3 submit quiz 1 of 5 questions saved

Explanation:

Step1: Identify uncertainty formula

For two - measured quantities added together, if the uncertainties are $\Delta F_1$ and $\Delta F_2$, the uncertainty in the sum $\Delta F_{net}$ is given by $\Delta F_{net}=\sqrt{\Delta F_1^{2}+\Delta F_2^{2}}$ when the forces are added. Here, $\Delta F_1 = 0.5$ N and $\Delta F_2=0.7$ N.

Step2: Calculate the uncertainty

Substitute the values into the formula: $\Delta F_{net}=\sqrt{(0.5)^{2}+(0.7)^{2}}=\sqrt{0.25 + 0.49}=\sqrt{0.74}$

Answer:

$\sqrt{0.74}$