The equation of the orbit of a particle of mass m is given by: r = 1/θ. Find the corresponding force law F(r) governing the motion of the particle.
Understand the Problem
The question is asking for the corresponding force law governing the motion of a particle in orbit, based on the given equation for the orbit. It is a physics question involving concepts of gravitational or orbital motion.
Answer
D) F(r) = -kr^3.
The final answer is D) F(r) = -kr^3.
Answer for screen readers
The final answer is D) F(r) = -kr^3.
More Information
This force law suggests a central force directly related to r cubed, often found in theoretical physics studies of non-Newtonian gravitational forces.
Tips
A common mistake is not correctly converting between r and θ coordinates or misapplying the substitution u = 1/r.
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