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F = ma (Final Problems)
Dimensional Analysis
FMA-2020A-23 · 2020A F = ma (AAPT)

2020 F = ma Exam A — Question 23

Steve determines the spring constant k of a spring by applying a force F to it and measuring the change in length ∆x. The tools he uses to measure F and ∆x both have a constant absolute uncertainty, leading to an uncertainty in k of δkS . If Tiffany measures the same spring constant with the same tools but by using a force that is five times larger, what will her uncertainty in k be in terms of δkS ?
Source: Question 23, 2020 F = ma Exam A, © 2020 American Association of Physics Teachers (AAPT) and the U.S. Physics Team. Adapted by PhysicsTrainer: reformatted into a separate question and answer choices for online multiple-choice practice; any shared setup from nearby questions is repeated here. Not affiliated with or endorsed by AAPT or the U.S. Physics Team.