All questions
AP Physics C: Mechanics
2.8 Spring Forces
IntermediateMCQMathematicalProportional Analysis21.1k
A grayscale schematic diagram showing two spring configurations suspended from a horizontal ceiling line. On the left, labeled 'Scenario 1', two vertical coil springs are connected end-to-end in series from the ceiling down to a square mass labeled W; the upper spring is labeled k and the lower spring is labeled 2k. On the right, labeled 'Scenario 2', the two springs are suspended side-by-side in parallel from the ceiling down to a light horizontal bar that supports the same square mass labeled W; the left spring is labeled k and the right spring is labeled 2k. No other labels, lines, text, or axes appear.
Two spring arrangements supporting identical hanging loads.
Two ideal, massless springs have spring constants \(k_1 = k\) and \(k_2 = 2k\). In Scenario 1, the two springs are connected in series end-to-end to support a hanging block of weight \(W\) in static equilibrium. In Scenario 2, the same two springs are connected in parallel side-by-side to support the same hanging block of weight \(W\) in static equilibrium with equal stretch in both springs. What is the ratio \(\dfrac{\Delta x_{\text{series}}}{\Delta x_{\text{parallel}}}\) of the total extension of the springs in Scenario 1 to the total extension in Scenario 2?

Log In to Continue

Accounts are free! Log in to try this question, see explanations, save progress, and more!

Similar Questions

Tools for a 5

The Quiz Lab library of AP Physics quizzes AP aligned mock tests to help you get a 5. With grading, adaptive explanations, and more. Find a Quiz Find, solve, and grade every AP FRQ ever. Find an FRQ Stuck on AP Physics C: Mechanics? Get unstuck with an AP specialist.1 to 1 tutors who know the exam inside out. Understand weeks of material in a single session.Find a Tutor Learn AP Physics from scratch, quickly. This is the only course you'll need for the year. A self-paced course with everything you need to get a 5. Trusted by over 15,000 students and 200+ schools. Learn fast, or we'll refund your purchase, backed by our 100% satisfaction guarantee. Explore the Course