Given is a central force F(r) that acts on a particle. It also holds that r = k \exp(αθ). • Determine f(r). • Determine r and θ as a function of time. • Determine the energy of this movement

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Given is a central force F(r) that acts on a particle. It also holds that r = k \exp(αθ). • Determine f(r). • Determine r and θ as a function of time. • Determine the energy of this movement
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