ScienceAges 16-18

Gravitational potential energy

Use Eₚ = mgh (with g = 10 N/kg) to calculate gravitational potential energy gained when an object is raised. Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 16-18

Gravitational potential energy

Take your time. Show your thinking.

1. An object of mass 30 kg is raised by 5 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
30 kg → Δh = 5 m · g = 10 N/kg
2. An object of mass 15 kg is raised by 12 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
15 kg → Δh = 12 m · g = 10 N/kg
3. An object of mass 8 kg is raised by 14 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
8 kg → Δh = 14 m · g = 10 N/kg
4. An object of mass 26 kg is raised by 14 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
26 kg → Δh = 14 m · g = 10 N/kg
5. An object of mass 14 kg is raised by 3 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
14 kg → Δh = 3 m · g = 10 N/kg
6. An object of mass 9 kg is raised by 17 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
9 kg → Δh = 17 m · g = 10 N/kg
7. An object of mass 28 kg is raised by 10 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
28 kg → Δh = 10 m · g = 10 N/kg
8. An object of mass 24 kg is raised by 19 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
24 kg → Δh = 19 m · g = 10 N/kg
9. An object of mass 24 kg is raised by 16 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
24 kg → Δh = 16 m · g = 10 N/kg
10. An object of mass 18 kg is raised by 3 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
18 kg → Δh = 3 m · g = 10 N/kg
11. An object of mass 7 kg is raised by 7 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
7 kg → Δh = 7 m · g = 10 N/kg
12. An object of mass 30 kg is raised by 17 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
30 kg → Δh = 17 m · g = 10 N/kg

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

View the answer key

Worksheet StudioAnswer key · Ages 16-18

Gravitational potential energy

Answers and reasoning. Review before teaching.

1. An object of mass 30 kg is raised by 5 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
1500 J
Eₚ = m × g × h = 30 × 10 × 5 = 1500 J.
2. An object of mass 15 kg is raised by 12 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
1800 J
Eₚ = m × g × h = 15 × 10 × 12 = 1800 J.
3. An object of mass 8 kg is raised by 14 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
1120 J
Eₚ = m × g × h = 8 × 10 × 14 = 1120 J.
4. An object of mass 26 kg is raised by 14 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
3640 J
Eₚ = m × g × h = 26 × 10 × 14 = 3640 J.
5. An object of mass 14 kg is raised by 3 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
420 J
Eₚ = m × g × h = 14 × 10 × 3 = 420 J.
6. An object of mass 9 kg is raised by 17 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
1530 J
Eₚ = m × g × h = 9 × 10 × 17 = 1530 J.
7. An object of mass 28 kg is raised by 10 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
2800 J
Eₚ = m × g × h = 28 × 10 × 10 = 2800 J.
8. An object of mass 24 kg is raised by 19 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
4560 J
Eₚ = m × g × h = 24 × 10 × 19 = 4560 J.
9. An object of mass 24 kg is raised by 16 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
3840 J
Eₚ = m × g × h = 24 × 10 × 16 = 3840 J.
10. An object of mass 18 kg is raised by 3 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
540 J
Eₚ = m × g × h = 18 × 10 × 3 = 540 J.
11. An object of mass 7 kg is raised by 7 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
490 J
Eₚ = m × g × h = 7 × 10 × 7 = 490 J.
12. An object of mass 30 kg is raised by 17 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
5100 J
Eₚ = m × g × h = 30 × 10 × 17 = 5100 J.

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

Worksheet StudioPractice pack · Ages 16-18

Gravitational potential energy

Take your time. Show your thinking.

1. An object of mass 30 kg is raised by 5 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
30 kg → Δh = 5 m · g = 10 N/kg
2. An object of mass 15 kg is raised by 12 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
15 kg → Δh = 12 m · g = 10 N/kg
3. An object of mass 8 kg is raised by 14 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
8 kg → Δh = 14 m · g = 10 N/kg
4. An object of mass 26 kg is raised by 14 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
26 kg → Δh = 14 m · g = 10 N/kg
5. An object of mass 14 kg is raised by 3 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
14 kg → Δh = 3 m · g = 10 N/kg
6. An object of mass 9 kg is raised by 17 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
9 kg → Δh = 17 m · g = 10 N/kg
7. An object of mass 28 kg is raised by 10 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
28 kg → Δh = 10 m · g = 10 N/kg
8. An object of mass 24 kg is raised by 19 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
24 kg → Δh = 19 m · g = 10 N/kg
9. An object of mass 24 kg is raised by 16 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
24 kg → Δh = 16 m · g = 10 N/kg
10. An object of mass 18 kg is raised by 3 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
18 kg → Δh = 3 m · g = 10 N/kg
11. An object of mass 7 kg is raised by 7 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
7 kg → Δh = 7 m · g = 10 N/kg
12. An object of mass 30 kg is raised by 17 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
30 kg → Δh = 17 m · g = 10 N/kg

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

Worksheet StudioAnswer key · Ages 16-18

Gravitational potential energy

Answers and reasoning. Review before teaching.

1. An object of mass 30 kg is raised by 5 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
1500 J
Eₚ = m × g × h = 30 × 10 × 5 = 1500 J.
2. An object of mass 15 kg is raised by 12 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
1800 J
Eₚ = m × g × h = 15 × 10 × 12 = 1800 J.
3. An object of mass 8 kg is raised by 14 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
1120 J
Eₚ = m × g × h = 8 × 10 × 14 = 1120 J.
4. An object of mass 26 kg is raised by 14 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
3640 J
Eₚ = m × g × h = 26 × 10 × 14 = 3640 J.
5. An object of mass 14 kg is raised by 3 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
420 J
Eₚ = m × g × h = 14 × 10 × 3 = 420 J.
6. An object of mass 9 kg is raised by 17 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
1530 J
Eₚ = m × g × h = 9 × 10 × 17 = 1530 J.
7. An object of mass 28 kg is raised by 10 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
2800 J
Eₚ = m × g × h = 28 × 10 × 10 = 2800 J.
8. An object of mass 24 kg is raised by 19 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
4560 J
Eₚ = m × g × h = 24 × 10 × 19 = 4560 J.
9. An object of mass 24 kg is raised by 16 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
3840 J
Eₚ = m × g × h = 24 × 10 × 16 = 3840 J.
10. An object of mass 18 kg is raised by 3 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
540 J
Eₚ = m × g × h = 18 × 10 × 3 = 540 J.
11. An object of mass 7 kg is raised by 7 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
490 J
Eₚ = m × g × h = 7 × 10 × 7 = 490 J.
12. An object of mass 30 kg is raised by 17 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
5100 J
Eₚ = m × g × h = 30 × 10 × 17 = 5100 J.

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