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Energy stored in a stretched spring (E = ½ k e²)

10th grade (Year 11 in England) · 16 questions · Common Core: NGSS.HS-PS3-1 · England: GCSE Combined Science: Energy (elastic potential energy)

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  1. Question 1

    If the extension of a spring doubles, how does the stored energy change (within the limit of proportionality)?

    • A. it stays the same
    • B. it halves
    • C. it doubles
    • D. it becomes four times bigger

  2. Question 2

    A catapult band has a spring constant of 200 N/m and is pulled back 20 cm. How much elastic potential energy is stored, in J? Give 3 decimal places.

    AnswerJ

  3. Question 3

    A spring with spring constant 40 N/m is stretched by 0.1 m. How much energy is stored in it, in J?

    AnswerJ

  4. Question 4

    Work is done stretching a spring that obeys Hooke's law. How can this work be found from a force–extension graph?

    • A. the length of the line
    • B. the highest force only
    • C. the area under the line
    • D. the gradient of the line

  5. Question 5

    A catapult band has a spring constant of 50 N/m and is pulled back 5 cm. How much elastic potential energy is stored, in J? Give 3 decimal places.

    AnswerJ

  6. Question 6

    A spring with spring constant 200 N/m is stretched by 0.3 m. How much energy is stored in it, in J?

    AnswerJ

  7. Question 7

    Work is done stretching a spring that obeys Hooke's law. How can this work be found from a force–extension graph?

    • A. the length of the line
    • B. the highest force only
    • C. the area under the line
    • D. the gradient of the line

  8. Question 8

    A catapult band has a spring constant of 250 N/m and is pulled back 10 cm. How much elastic potential energy is stored, in J? Give 3 decimal places.

    AnswerJ

  9. Question 9

    A spring with spring constant 400 N/m is stretched by 0.5 m. How much energy is stored in it, in J?

    AnswerJ

  10. Question 10

    Work is done stretching a spring that obeys Hooke's law. How can this work be found from a force–extension graph?

    • A. the area under the line
    • B. the gradient of the line
    • C. the highest force only
    • D. the length of the line

  11. Question 11

    A catapult band has a spring constant of 200 N/m and is pulled back 5 cm. How much elastic potential energy is stored, in J? Give 3 decimal places.

    AnswerJ

  12. Question 12

    A spring with spring constant 100 N/m is stretched by 0.1 m. How much energy is stored in it, in J?

    AnswerJ

  13. Question 13

    Work is done stretching a spring that obeys Hooke's law. How can this work be found from a force–extension graph?

    • A. the length of the line
    • B. the highest force only
    • C. the area under the line
    • D. the gradient of the line

  14. Question 14

    A catapult band has a spring constant of 250 N/m and is pulled back 10 cm. How much elastic potential energy is stored, in J? Give 3 decimal places.

    AnswerJ

  15. Question 15

    A spring with spring constant 50 N/m is stretched by 0.3 m. How much energy is stored in it, in J?

    AnswerJ

  16. Question 16

    If the extension of a spring doubles, how does the stored energy change (within the limit of proportionality)?

    • A. it stays the same
    • B. it doubles
    • C. it becomes four times bigger
    • D. it halves

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  1. it becomes four times bigger
  2. 4 J
  3. 0.2 J
  4. the area under the line
  5. 0.063 J
  6. 9 J
  7. the area under the line
  8. 1.25 J
  9. 50 J
  10. the area under the line
  11. 0.25 J
  12. 0.5 J
  13. the area under the line
  14. 1.25 J
  15. 2.25 J
  16. it becomes four times bigger