# How does one calculate the energy used depending on the velocity and air resistance of an object [closed]

I'm in need of a equation that can tell me how much energy/work I need to move an object inside a low air-pressure tube. The equation should (if possible) include drag, object velocity and mass. If there isn't such a equation i would also be happy if you could show me a way how to get to the calculate the work/energy needed.

## closed as unclear what you're asking by Aaron Stevens, Gert, ZeroTheHero, Buzz, Kyle KanosJan 24 at 11:04

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• At high Reynolds number, the drag force is usually modeled as: $F_D=\frac12 \rho v^2 C_A A$ – Gert Jan 22 at 17:03

If you know the magnitude of the drag force $$F_{\rm drag}(t)$$ and the speed of the object $$v(t)$$ then rate at which energy is being dissipated at a particular time $$t$$ is $$F_{\rm drag}(t) \,v(t)$$.
To evaluate the total energy dissipation from time $$t_{\rm start}$$ to time $$t_{\rm finish}$$ you will need to do an integration $$\displaystyle \int_{t_{\rm start}}^{t_{\rm finish}} F_{\rm drag}(t) \,v(t) \, dt$$