A gravitational force $F$ acts on a mass of $6.0\,\text{kg}$ on a planet. The mass is displaced by force $F$ by $30\,\text{m}$ in the same direction as the gravitational field. The work done by the field is $450\,\text{J}$. What are the force $F$ on the mass and the acceleration of free fall $g$ on the planet?
- A$F = 0.067\,\text{N},\; g = 0.011\,\text{m s}^{-2}$
- B$F = 0.067\,\text{N},\; g = 0.40\,\text{m s}^{-2}$
- C$F = 15\,\text{N},\; g = 2.5\,\text{m s}^{-2}$
- D$F = 15\,\text{N},\; g = 90\,\text{m s}^{-2}$