Question

a student measures the force exerted by a spring to be 12.15 n with an uncertainty of 0.15 n. she then uses hookes law to calculate that the force should be 12.36 n with an uncertainty of 0.07 n. the measured force does not agree with the calculated force within the uncertainties. a) true b) false view hint for question 1

Explanation:

Step1: Determine the range of measured force

The measured force is $12.15\ N$ with an uncertainty of $0.15\ N$. So the range is from $12.15 - 0.15=12.00\ N$ to $12.15 + 0.15 = 12.30\ N$.

Step2: Determine the range of calculated force

The calculated force is $12.36\ N$ with an uncertainty of $0.07\ N$. So the range is from $12.36 - 0.07=12.29\ N$ to $12.36+ 0.07 = 12.43\ N$.

Step3: Check for overlap

The highest value of the measured - force range ($12.30\ N$) is less than the lowest value of the calculated - force range ($12.29\ N$), but they have an overlap.

Answer:

B. False