F=ma 2025 Problem 23

Physics · mechanics

Problem

Question: A student conducted an experiment to determine the spring constant of a spring using a ruler and two different weighing scales. The measured elongation of the spring was

1.5 cm

,and the smallest division on the ruler was

1 mm

. The mass of the attached weight was measured using two different scales in the school laboratory,yielding values of

198 g

and

210 g

. The student also found that the local acceleration due to gravity in her city is given as

(9.806 \pm 0.001) m/s^2

. Calculate the percent error in measuring the spring constant. (A)

2\%

. (B)

4\%

. (C)

8\%

. (D)

{11}\%

. (E)

{14}\%

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