AP®PhysicsCollege BoardPhysics 1: Algebra-BasedExam QuestionsUnit 2: Force & Translational DynamicsSpring Forces

Spring Forces (College Board AP® Physics 1: Algebra-Based): Exam Questions

19 mins15 questions

Select a download format for Spring Forces

Scroll for more

Select an answer set to view for
Spring Forces

Easy
Medium
1a
Sme Calculator2 marks

A block of mass m space equals space 2 space kg is attached to a spring with a spring constant k space equals space 100 space straight N divided by straight m. The block rests on a horizontal frictionless surface. The spring is initially stretched by 0.15 space straight m from its equilibrium position and then released from rest.

Derive an expression for the magnitude of the spring force at displacement straight capital delta x.

How did you do?

1b
Sme Calculator2 marks

i) Calculate the magnitude of the spring force when the spring is stretched by straight capital delta x space equals space 0.15 space straight m.

ii) Describe how the spring constant affects the magnitude of the force.

How did you do?

Did this page help you?

1
Sme Calculator2 marks
Spring 1 has constant k_1. It is in series with spring 2, with constant k_2. This is connected to a block with mass m. The block is to the left of equilibrium at x = -A, such that the springs are compressed.

Figure 1

Two ideal springs, 1 and 2, of spring constant k subscript 1 and k subscript 2 respectively, are connected end to end. A block of mass m is attached to the end of Spring 2 and the other end of Spring 1 is fixed to a wall. The block is displaced to the left of the spring's equilibrium position, x space equals space 0, and held stationary at position x space equals space minus A, as shown in Figure 1.

On the diagram in Figure 1, draw and label arrows that represent the forces (not components) that are exerted on Spring 2 as the block is held at position x space equals space minus A.

  • Each force in your diagram must be represented by a distinct arrow starting on, and pointing away from, the point at which the force is exerted on Spring 2.

  • The length of arrows should represent the relative magnitudes of the forces.

How did you do?

Did this page help you?