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

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

Exam Questions

5 mins5 questions
1
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Which of the following statements correctly describes the force exerted by an ideal spring on an object?

  • The force exerted by the spring on an object is always directed away from the equilibrium position.

  • The force exerted by the spring on an object is proportional to the mass of the object attached to it.

  • The force exerted by the spring on an object is proportional to the change in the spring’s length from its relaxed length.

  • The force exerted by the spring on an object decreases as the spring is stretched or compressed further from its relaxed length.

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2
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Two ideal springs with spring constants k subscript 1and k subscript 2are connected in series. A force F is applied to stretch the system. Which of the following gives the magnitude of the total extension of the system?

  • fraction numerator F over denominator k subscript 1 plus k subscript 2 end fraction

  • F over k subscript 1 space plus space F over k subscript 2

  • fraction numerator k subscript 1 plus k subscript 2 over denominator F end fraction

  • fraction numerator F open parentheses k subscript 1 plus k subscript 2 close parentheses over denominator k subscript 1 k subscript 2 end fraction

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3
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Which of the following combinations of springs will the effective spring constant be equal to k?

  • Diagram of a system with two springs and one block. Each spring, labeled as having a spring constant of 2k, is connected in series between a fixed end and the block.
  • Diagram of a system with four springs and one block. Each spring, labeled as having a spring constant of 1/4 k, is connected in series between a fixed end and the block.
  • Diagram of a system with two springs and one block. The springs, each labeled as having a spring constant of k, are connected in parallel between a fixed end and the block.
  • Diagram of a system with two springs and one block. The springs, each labeled as having a spring constant of 2k, are connected in parallel between a fixed end and the block.

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4
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A spring has a spring constant k of 200 space straight N divided by straight m and a relaxed length of 14 space cm. Which of the following gives the length of the spring when a force of 10 space straight N is used to compress the spring?

  • 5 space cm

  • 9 space cm

  • 13.95 space cm

  • 19 space cm

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5
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The graph shown represents the results obtained when a spring was stretched with an increasing load. Which of the following gives the spring constant?

  • 0.080 space straight N divided by straight m

  • 0.13 space straight N divided by straight m

  • 2.7 space straight N divided by straight m

  • 8.0 space straight N divided by straight m

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