ScienceAges 13-15

Kinetic energy (Eₖ = ½mv²)

Use Eₖ = ½mv² to calculate the kinetic energy in joules of a moving object. Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 13-15

Kinetic energy (Eₖ = ½mv²)

Take your time. Show your thinking.

1. An object of mass 24 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
24 kg → v = 5 m/s · Eₖ = ½mv²
2. An object of mass 24 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
24 kg → v = 7 m/s · Eₖ = ½mv²
3. An object of mass 14 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
14 kg → v = 7 m/s · Eₖ = ½mv²
4. An object of mass 20 kg moves at a speed of 8 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
20 kg → v = 8 m/s · Eₖ = ½mv²
5. An object of mass 26 kg moves at a speed of 9 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
26 kg → v = 9 m/s · Eₖ = ½mv²
6. An object of mass 6 kg moves at a speed of 8 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
6 kg → v = 8 m/s · Eₖ = ½mv²
7. An object of mass 8 kg moves at a speed of 9 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
8 kg → v = 9 m/s · Eₖ = ½mv²
8. An object of mass 30 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
30 kg → v = 5 m/s · Eₖ = ½mv²
9. An object of mass 14 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
14 kg → v = 5 m/s · Eₖ = ½mv²
10. An object of mass 4 kg moves at a speed of 6 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
4 kg → v = 6 m/s · Eₖ = ½mv²
11. An object of mass 22 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
22 kg → v = 7 m/s · Eₖ = ½mv²
12. An object of mass 16 kg moves at a speed of 10 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
16 kg → v = 10 m/s · Eₖ = ½mv²

12 questions · Seed 43 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 13-15

Kinetic energy (Eₖ = ½mv²)

Answers and reasoning. Review before teaching.

1. An object of mass 24 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
300 J
Eₖ = ½ × 24 × 5² = 12 × 25 = 300 J.
2. An object of mass 24 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
588 J
Eₖ = ½ × 24 × 7² = 12 × 49 = 588 J.
3. An object of mass 14 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
343 J
Eₖ = ½ × 14 × 7² = 7 × 49 = 343 J.
4. An object of mass 20 kg moves at a speed of 8 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
640 J
Eₖ = ½ × 20 × 8² = 10 × 64 = 640 J.
5. An object of mass 26 kg moves at a speed of 9 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
1053 J
Eₖ = ½ × 26 × 9² = 13 × 81 = 1053 J.
6. An object of mass 6 kg moves at a speed of 8 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
192 J
Eₖ = ½ × 6 × 8² = 3 × 64 = 192 J.
7. An object of mass 8 kg moves at a speed of 9 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
324 J
Eₖ = ½ × 8 × 9² = 4 × 81 = 324 J.
8. An object of mass 30 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
375 J
Eₖ = ½ × 30 × 5² = 15 × 25 = 375 J.
9. An object of mass 14 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
175 J
Eₖ = ½ × 14 × 5² = 7 × 25 = 175 J.
10. An object of mass 4 kg moves at a speed of 6 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
72 J
Eₖ = ½ × 4 × 6² = 2 × 36 = 72 J.
11. An object of mass 22 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
539 J
Eₖ = ½ × 22 × 7² = 11 × 49 = 539 J.
12. An object of mass 16 kg moves at a speed of 10 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
800 J
Eₖ = ½ × 16 × 10² = 8 × 100 = 800 J.

12 questions · Seed 43 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

Kinetic energy (Eₖ = ½mv²)

Take your time. Show your thinking.

1. An object of mass 24 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
24 kg → v = 5 m/s · Eₖ = ½mv²
2. An object of mass 24 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
24 kg → v = 7 m/s · Eₖ = ½mv²
3. An object of mass 14 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
14 kg → v = 7 m/s · Eₖ = ½mv²
4. An object of mass 20 kg moves at a speed of 8 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
20 kg → v = 8 m/s · Eₖ = ½mv²
5. An object of mass 26 kg moves at a speed of 9 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
26 kg → v = 9 m/s · Eₖ = ½mv²
6. An object of mass 6 kg moves at a speed of 8 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
6 kg → v = 8 m/s · Eₖ = ½mv²
7. An object of mass 8 kg moves at a speed of 9 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
8 kg → v = 9 m/s · Eₖ = ½mv²
8. An object of mass 30 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
30 kg → v = 5 m/s · Eₖ = ½mv²
9. An object of mass 14 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
14 kg → v = 5 m/s · Eₖ = ½mv²
10. An object of mass 4 kg moves at a speed of 6 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
4 kg → v = 6 m/s · Eₖ = ½mv²
11. An object of mass 22 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
22 kg → v = 7 m/s · Eₖ = ½mv²
12. An object of mass 16 kg moves at a speed of 10 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
16 kg → v = 10 m/s · Eₖ = ½mv²

12 questions · Seed 43 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

Kinetic energy (Eₖ = ½mv²)

Answers and reasoning. Review before teaching.

1. An object of mass 24 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
300 J
Eₖ = ½ × 24 × 5² = 12 × 25 = 300 J.
2. An object of mass 24 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
588 J
Eₖ = ½ × 24 × 7² = 12 × 49 = 588 J.
3. An object of mass 14 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
343 J
Eₖ = ½ × 14 × 7² = 7 × 49 = 343 J.
4. An object of mass 20 kg moves at a speed of 8 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
640 J
Eₖ = ½ × 20 × 8² = 10 × 64 = 640 J.
5. An object of mass 26 kg moves at a speed of 9 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
1053 J
Eₖ = ½ × 26 × 9² = 13 × 81 = 1053 J.
6. An object of mass 6 kg moves at a speed of 8 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
192 J
Eₖ = ½ × 6 × 8² = 3 × 64 = 192 J.
7. An object of mass 8 kg moves at a speed of 9 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
324 J
Eₖ = ½ × 8 × 9² = 4 × 81 = 324 J.
8. An object of mass 30 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
375 J
Eₖ = ½ × 30 × 5² = 15 × 25 = 375 J.
9. An object of mass 14 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
175 J
Eₖ = ½ × 14 × 5² = 7 × 25 = 175 J.
10. An object of mass 4 kg moves at a speed of 6 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
72 J
Eₖ = ½ × 4 × 6² = 2 × 36 = 72 J.
11. An object of mass 22 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
539 J
Eₖ = ½ × 22 × 7² = 11 × 49 = 539 J.
12. An object of mass 16 kg moves at a speed of 10 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
800 J
Eₖ = ½ × 16 × 10² = 8 × 100 = 800 J.

12 questions · Seed 43 · Age guidance, not curriculum certification