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Physics · Grades 7–10

Gravitational energy gain

Use the vertical height change and the specified constant field strength.

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Rule and assumptions

Use the vertical height change and the specified constant field strength.

ΔEₚ = mgΔh

Worked examples

A 12 kg load is raised vertically by 7 m in a field g = 10 N/kg. Find its gravitational potential-energy gain. Round to 3 decimal places if needed. Answer in J.

ΔEₚ = mgΔh 12 × 10 × 7 = 840

840 J

A 32 kg load is raised vertically by 3 m in a field g = 10 N/kg. Find its gravitational potential-energy gain. Round to 3 decimal places if needed. Answer in J.

ΔEₚ = mgΔh 32 × 10 × 3 = 960

960 J

Try two questions

  1. A 4 kg load is raised vertically by 25 m in a field g = 10 N/kg. Find its gravitational potential-energy gain. Round to 3 decimal places if needed. Answer in J.

  2. A 12 kg load is raised vertically by 24 m in a field g = 10 N/kg. Find its gravitational potential-energy gain. Round to 3 decimal places if needed. Answer in J.

Answers and reasoning

Answers and marking notes
  1. 1000 J

    ΔEₚ = mgΔh 4 × 10 × 25 = 1000

  2. 2880 J

    ΔEₚ = mgΔh 12 × 10 × 24 = 2880

Further reading and review references

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Learning preview · independent educational and translation review required. Suggested grades are not official curriculum alignment.