Your repeated measurements of the speed gives a In an experiment for this unit,

Question

Your repeated measurements of the speed gives a In an experiment for this unit, theory predicts that the speed of a cart, after rolling down a slope, will be 340 ± 0.08 ms value of 3.7 ± 0.1 ms . Are your measurements consistent with the theory? Select one: O a. Yes, because the values are within 10% of each other. o b. No, because within the standard uncertainties the values do not overlap o c. Yes, because within 3 x the standard uncertainties the values overlap. o d. No, because within 3 x the standard uncertainties the values do not overlap. o e. No, because within 2 x the standard uncertainties the values do not overiap.

Explanation / Answer

Theoritical value is 3.4 +- 0.08 m/s

The range of value is 3.32 m/s to 3.48 m/s

Measured value is 3.7 +- 0.1 m/s

The range of measured value is 3.6 to 3.8 m/s

Percent differance between measured value and theoritical value is

(3.7-3.4)/3.4*100 = 8.82 percent . This is less than 10 % , therefore the answer is (a )

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