# Elastic Potential Energy calculations

## Stage 1

Calculate the energy transferred to the elastic potential energy store for the following:

1. A spring is extended by 0.35 m and has a spring constant of 134 N/m.

2. A spring is extended by 0.36 m and has a spring constant of 429 N/m.

3. A spring with a spring constant of 459 N/m is stretched until its extension is 0.29 m.

4. A spring with a spring constant of 344 N/m is stretched until its extension is 0.42 m.

5. A spring with a spring constant of 82 N/m is stretched until its extension is 0.2 m.

## Stage 2

6. Find the extension of a spring with 28 J of energy in its elastic potential store and a spring constant of 308 N/m.

7. Find the extension of a spring with a spring constant of 187 N/m and has 33 J of energy in its elastic potential store.

8. Find the spring constant of a spring that has been extended 0.5 m and has 16.5 J of energy in its elastic potential store.

9. Find the extension of a spring with 3 J of energy in its elastic potential store and a spring constant of 73 N/m.

10. Find the spring constant of a spring with 18.1 J of energy in its elastic potential store when it has been extended by 0.49 m.

## Stage 3

11. Find the extension of a spring with 0.064 kJ of energy in its elastic potential store and a spring constant of 379 N/m.

12. Find the extension of a spring with a spring constant of 155 N/m and has 2 J of energy in its elastic potential store.

13. A spring with a spring constant of 141 N/m is stretched until its extension is 42 cm. Calculate the energy transferred to the elastic potential energy store.

14. A spring with a spring constant of 201 N/m is stretched until its extension is 0.39 m. Calculate the energy transferred to the elastic potential energy store.

15. Find the extension of a spring with 0.003 kJ of energy in its elastic potential store and a spring constant of 179 N/m.

1. 8.2 J

2. 27.8 J

3. 19.3 J

4. 30.3 J

5. 1.6 J

6. 0.426 m

7. 0.594 m

8. 132 N/m

9. 0.287 m

10. 151 N/m

11. 0.581 m

12. 0.161 m

13. 12.4 J

14. 15.3 J

15. 0.183 m