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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

    A stretched bow is released and the arrow flies off. Which energy transfer happens?

    • A. thermal → elastic
    • B. chemical → nuclear
    • C. kinetic → elastic
    • D. elastic potential store of the bow → kinetic store of the arrow

  2. Question 2

    A catapult band has a spring constant of 100 N/m and is pulled back 10 cm. How much elastic potential energy is stored, in J? Give 3 decimal places.

    AnswerJ

  3. Question 3

    A spring with spring constant 100 N/m is stretched by 0.3 m. How much energy is stored in it, in J?

    AnswerJ

  4. Question 4

    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 becomes four times bigger
    • C. it doubles
    • D. it halves

  5. Question 5

    A catapult band has a spring constant of 80 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 40 N/m is stretched by 0.5 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 gradient of the line
    • B. the highest force only
    • C. the length of the line
    • D. the area under the line

  8. Question 8

    A catapult band has a spring constant of 250 N/m and is pulled back 20 cm. How much elastic potential energy is stored, in J? Give 3 decimal places.

    AnswerJ

  9. Question 9

    A spring with spring constant 40 N/m is stretched by 0.2 m. How much energy is stored in it, in J?

    AnswerJ

  10. Question 10

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

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

  11. Question 11

    A catapult band has a spring constant of 80 N/m and is pulled back 10 cm. How much elastic potential energy is stored, in J? Give 3 decimal places.

    AnswerJ

  12. Question 12

    A spring with spring constant 200 N/m is stretched by 0.1 m. How much energy is stored in it, in J?

    AnswerJ

  13. Question 13

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

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

  14. Question 14

    A catapult band has a spring constant of 200 N/m and is pulled back 2 cm. How much elastic potential energy is stored, in J? Give 3 decimal places.

    AnswerJ

  15. Question 15

    A spring with spring constant 20 N/m is stretched by 0.2 m. How much energy is stored in it, in J?

    AnswerJ

  16. Question 16

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

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

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

  1. 1. D. elastic potential store of the bow → kinetic store of the arrow

  2. 2. 0.5 J

  3. 3. 4.5 J

  4. 4. B. it becomes four times bigger

  5. 5. 0.1 J

  6. 6. 5 J

  7. 7. D. the area under the line

  8. 8. 5 J

  9. 9. 0.8 J

  10. 10. A. it becomes four times bigger

  11. 11. 0.4 J

  12. 12. 1 J

  13. 13. B. it becomes four times bigger

  14. 14. 0.04 J

  15. 15. 0.4 J

  16. 16. C. the area under the line