ScienceAges 16-18

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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Age band:Ages 13-15 Ages 16-18

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Worksheet StudioPractice pack · Ages 16-18

Kinetic energy (Eₖ = ½mv²)

Take your time. Show your thinking.

1. An object of mass 6 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
6 kg → v = 12 m/s · Eₖ = ½mv²
2. An object of mass 20 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
20 kg → v = 12 m/s · Eₖ = ½mv²
3. An object of mass 16 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
16 kg → v = 12 m/s · Eₖ = ½mv²
4. An object of mass 10 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
10 kg → v = 5 m/s · Eₖ = ½mv²
5. An object of mass 14 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
14 kg → v = 12 m/s · Eₖ = ½mv²
6. An object of mass 28 kg moves at a speed of 2 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
28 kg → v = 2 m/s · Eₖ = ½mv²
7. An object of mass 8 kg moves at a speed of 10 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
8 kg → v = 10 m/s · Eₖ = ½mv²
8. An object of mass 24 kg moves at a speed of 11 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
24 kg → v = 11 m/s · Eₖ = ½mv²
9. An object of mass 18 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
18 kg → v = 7 m/s · Eₖ = ½mv²
10. An object of mass 10 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
10 kg → v = 7 m/s · Eₖ = ½mv²
11. An object of mass 4 kg moves at a speed of 9 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
4 kg → v = 9 m/s · Eₖ = ½mv²
12. An object of mass 18 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
18 kg → v = 5 m/s · Eₖ = ½mv²

12 questions · Seed 42 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 16-18

Kinetic energy (Eₖ = ½mv²)

Answers and reasoning. Review before teaching.

1. An object of mass 6 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
432 J
Eₖ = ½ × 6 × 12² = 3 × 144 = 432 J.
2. An object of mass 20 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
1440 J
Eₖ = ½ × 20 × 12² = 10 × 144 = 1440 J.
3. An object of mass 16 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
1152 J
Eₖ = ½ × 16 × 12² = 8 × 144 = 1152 J.
4. An object of mass 10 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
125 J
Eₖ = ½ × 10 × 5² = 5 × 25 = 125 J.
5. An object of mass 14 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
1008 J
Eₖ = ½ × 14 × 12² = 7 × 144 = 1008 J.
6. An object of mass 28 kg moves at a speed of 2 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
56 J
Eₖ = ½ × 28 × 2² = 14 × 4 = 56 J.
7. An object of mass 8 kg moves at a speed of 10 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
400 J
Eₖ = ½ × 8 × 10² = 4 × 100 = 400 J.
8. An object of mass 24 kg moves at a speed of 11 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
1452 J
Eₖ = ½ × 24 × 11² = 12 × 121 = 1452 J.
9. An object of mass 18 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
441 J
Eₖ = ½ × 18 × 7² = 9 × 49 = 441 J.
10. An object of mass 10 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
245 J
Eₖ = ½ × 10 × 7² = 5 × 49 = 245 J.
11. An object of mass 4 kg moves at a speed of 9 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
162 J
Eₖ = ½ × 4 × 9² = 2 × 81 = 162 J.
12. An object of mass 18 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
225 J
Eₖ = ½ × 18 × 5² = 9 × 25 = 225 J.

12 questions · Seed 42 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 16-18

Kinetic energy (Eₖ = ½mv²)

Take your time. Show your thinking.

1. An object of mass 6 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
6 kg → v = 12 m/s · Eₖ = ½mv²
2. An object of mass 20 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
20 kg → v = 12 m/s · Eₖ = ½mv²
3. An object of mass 16 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
16 kg → v = 12 m/s · Eₖ = ½mv²
4. An object of mass 10 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
10 kg → v = 5 m/s · Eₖ = ½mv²
5. An object of mass 14 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
14 kg → v = 12 m/s · Eₖ = ½mv²
6. An object of mass 28 kg moves at a speed of 2 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
28 kg → v = 2 m/s · Eₖ = ½mv²
7. An object of mass 8 kg moves at a speed of 10 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
8 kg → v = 10 m/s · Eₖ = ½mv²
8. An object of mass 24 kg moves at a speed of 11 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
24 kg → v = 11 m/s · Eₖ = ½mv²
9. An object of mass 18 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
18 kg → v = 7 m/s · Eₖ = ½mv²
10. An object of mass 10 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
10 kg → v = 7 m/s · Eₖ = ½mv²
11. An object of mass 4 kg moves at a speed of 9 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
4 kg → v = 9 m/s · Eₖ = ½mv²
12. An object of mass 18 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
18 kg → v = 5 m/s · Eₖ = ½mv²

12 questions · Seed 42 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 16-18

Kinetic energy (Eₖ = ½mv²)

Answers and reasoning. Review before teaching.

1. An object of mass 6 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
432 J
Eₖ = ½ × 6 × 12² = 3 × 144 = 432 J.
2. An object of mass 20 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
1440 J
Eₖ = ½ × 20 × 12² = 10 × 144 = 1440 J.
3. An object of mass 16 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
1152 J
Eₖ = ½ × 16 × 12² = 8 × 144 = 1152 J.
4. An object of mass 10 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
125 J
Eₖ = ½ × 10 × 5² = 5 × 25 = 125 J.
5. An object of mass 14 kg moves at a speed of 12 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
1008 J
Eₖ = ½ × 14 × 12² = 7 × 144 = 1008 J.
6. An object of mass 28 kg moves at a speed of 2 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
56 J
Eₖ = ½ × 28 × 2² = 14 × 4 = 56 J.
7. An object of mass 8 kg moves at a speed of 10 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
400 J
Eₖ = ½ × 8 × 10² = 4 × 100 = 400 J.
8. An object of mass 24 kg moves at a speed of 11 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
1452 J
Eₖ = ½ × 24 × 11² = 12 × 121 = 1452 J.
9. An object of mass 18 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
441 J
Eₖ = ½ × 18 × 7² = 9 × 49 = 441 J.
10. An object of mass 10 kg moves at a speed of 7 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
245 J
Eₖ = ½ × 10 × 7² = 5 × 49 = 245 J.
11. An object of mass 4 kg moves at a speed of 9 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
162 J
Eₖ = ½ × 4 × 9² = 2 × 81 = 162 J.
12. An object of mass 18 kg moves at a speed of 5 m/s. Use Eₖ = ½mv² to calculate its kinetic energy.
225 J
Eₖ = ½ × 18 × 5² = 9 × 25 = 225 J.

12 questions · Seed 42 · Age guidance, not curriculum certification