Work = ∫ F⃗ · d⃗x = F cos(θ) ∫ dx

Work = ∫ F⃗ · d⃗x = F ∫ dx

Work = ∫ F⃗ · d⃗x = ±∫ F dx

Work = F d

F_{g} = mg

F_{g} = \frac{GM_{1}M_{2}}{r^{2}}

Work by gravity = ∫_{R_{E}}^{R_{E}+H} (\frac{GM_{E}m_{F}}{x^{2}} (−î)) · (dx î)

Work by Fred = ∫_{R_{E}}^{R_{E}+H} (\frac{GM_{E}m_{F}}{x^{2}} (î)) · (dx î)

Work = ∫ F dx

Work = ∫ F⃗ · d⃗x

Force = 500N î −200N ĵ −100N k̂