ScienceAges 13-15

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 13-15

Gravitational potential energy

Take your time. Show your thinking.

1. An object of mass 14 kg is raised by 6 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
14 kg → Δh = 6 m · g = 10 N/kg
2. An object of mass 9 kg is raised by 18 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
9 kg → Δh = 18 m · g = 10 N/kg
3. An object of mass 14 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.
14 kg → Δh = 5 m · g = 10 N/kg
4. An object of mass 19 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.
19 kg → Δh = 14 m · g = 10 N/kg
5. An object of mass 10 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.
10 kg → Δh = 3 m · g = 10 N/kg
6. An object of mass 19 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.
19 kg → Δh = 12 m · g = 10 N/kg
7. 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
8. An object of mass 6 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.
6 kg → Δh = 14 m · g = 10 N/kg
9. An object of mass 11 kg is raised by 11 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
11 kg → Δh = 11 m · g = 10 N/kg
10. An object of mass 20 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.
20 kg → Δh = 16 m · g = 10 N/kg
11. An object of mass 16 kg is raised by 15 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
16 kg → Δh = 15 m · g = 10 N/kg
12. An object of mass 30 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.
30 kg → Δh = 10 m · g = 10 N/kg

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

View the answer key

Worksheet StudioAnswer key · Ages 13-15

Gravitational potential energy

Answers and reasoning. Review before teaching.

1. An object of mass 14 kg is raised by 6 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
840 J
Eₚ = m × g × h = 14 × 10 × 6 = 840 J.
2. An object of mass 9 kg is raised by 18 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
1620 J
Eₚ = m × g × h = 9 × 10 × 18 = 1620 J.
3. An object of mass 14 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.
700 J
Eₚ = m × g × h = 14 × 10 × 5 = 700 J.
4. An object of mass 19 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.
2660 J
Eₚ = m × g × h = 19 × 10 × 14 = 2660 J.
5. An object of mass 10 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.
300 J
Eₚ = m × g × h = 10 × 10 × 3 = 300 J.
6. An object of mass 19 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.
2280 J
Eₚ = m × g × h = 19 × 10 × 12 = 2280 J.
7. 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.
8. An object of mass 6 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.
840 J
Eₚ = m × g × h = 6 × 10 × 14 = 840 J.
9. An object of mass 11 kg is raised by 11 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
1210 J
Eₚ = m × g × h = 11 × 10 × 11 = 1210 J.
10. An object of mass 20 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.
3200 J
Eₚ = m × g × h = 20 × 10 × 16 = 3200 J.
11. An object of mass 16 kg is raised by 15 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
2400 J
Eₚ = m × g × h = 16 × 10 × 15 = 2400 J.
12. An object of mass 30 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.
3000 J
Eₚ = m × g × h = 30 × 10 × 10 = 3000 J.

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

Worksheet StudioPractice pack · Ages 13-15

Gravitational potential energy

Take your time. Show your thinking.

1. An object of mass 14 kg is raised by 6 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
14 kg → Δh = 6 m · g = 10 N/kg
2. An object of mass 9 kg is raised by 18 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
9 kg → Δh = 18 m · g = 10 N/kg
3. An object of mass 14 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.
14 kg → Δh = 5 m · g = 10 N/kg
4. An object of mass 19 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.
19 kg → Δh = 14 m · g = 10 N/kg
5. An object of mass 10 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.
10 kg → Δh = 3 m · g = 10 N/kg
6. An object of mass 19 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.
19 kg → Δh = 12 m · g = 10 N/kg
7. 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
8. An object of mass 6 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.
6 kg → Δh = 14 m · g = 10 N/kg
9. An object of mass 11 kg is raised by 11 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
11 kg → Δh = 11 m · g = 10 N/kg
10. An object of mass 20 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.
20 kg → Δh = 16 m · g = 10 N/kg
11. An object of mass 16 kg is raised by 15 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
16 kg → Δh = 15 m · g = 10 N/kg
12. An object of mass 30 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.
30 kg → Δh = 10 m · g = 10 N/kg

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

Worksheet StudioAnswer key · Ages 13-15

Gravitational potential energy

Answers and reasoning. Review before teaching.

1. An object of mass 14 kg is raised by 6 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
840 J
Eₚ = m × g × h = 14 × 10 × 6 = 840 J.
2. An object of mass 9 kg is raised by 18 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
1620 J
Eₚ = m × g × h = 9 × 10 × 18 = 1620 J.
3. An object of mass 14 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.
700 J
Eₚ = m × g × h = 14 × 10 × 5 = 700 J.
4. An object of mass 19 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.
2660 J
Eₚ = m × g × h = 19 × 10 × 14 = 2660 J.
5. An object of mass 10 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.
300 J
Eₚ = m × g × h = 10 × 10 × 3 = 300 J.
6. An object of mass 19 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.
2280 J
Eₚ = m × g × h = 19 × 10 × 12 = 2280 J.
7. 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.
8. An object of mass 6 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.
840 J
Eₚ = m × g × h = 6 × 10 × 14 = 840 J.
9. An object of mass 11 kg is raised by 11 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
1210 J
Eₚ = m × g × h = 11 × 10 × 11 = 1210 J.
10. An object of mass 20 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.
3200 J
Eₚ = m × g × h = 20 × 10 × 16 = 3200 J.
11. An object of mass 16 kg is raised by 15 m in a gravitational field of strength g = 10 N/kg. Use Eₚ = mgh to calculate the gravitational potential energy gained.
2400 J
Eₚ = m × g × h = 16 × 10 × 15 = 2400 J.
12. An object of mass 30 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.
3000 J
Eₚ = m × g × h = 30 × 10 × 10 = 3000 J.

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