Work and Mechanical Energy

AP Physics 1· difficulty 4/5

A spring is compressed from natural length to displacement xx, then released. The work done BY the spring on the attached mass during release is

  • A

    +kx2+kx^2

  • B

    00

  • C

    12kx2-\frac{1}{2}kx^2

  • D

    +12kx2+\frac{1}{2}kx^2 (spring force does positive work as it returns to natural length)

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Explanation

Work-energy: spring's PE 12kx2\frac{1}{2}kx^2 converts to KE of mass. Spring does positive work equal to 12kx2\frac{1}{2}kx^2.

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