Physics · Gravitational potential energy, gravitational potential
The gravitational potential difference between the surface of a planet and a poi
The gravitational potential difference between the surface of a planet and a point \( 20 m \) above it is \( 16 J / k g . \) Then the work done in moving a 2 kg mass by \( 8 m \) on a slope 60 degree from the horizontal, is:
- A. \( 11.1 \mathrm{J} \)
- B. \( 5.5 J \)
- C. 16 J \)
- D. 27.7 J
Step-by-step solution
Gravitational potential difference per unit mass between surface and 20 m above is 16 J/kg, so g = 16/20 = 0.8 m/s². For a 2 kg mass moving 8 m on a 60° slope, vertical displacement = 8 sin 60° = 4√3 ≈ 6.928 m. Work done = m g h = 2 × 0.8 × 6.928 = 11.0848 J ≈ 11.1 J.
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