A point particle P is acted on by a force, F , which isdirected toward a fixed point O;
Chapter 17, Problem 52(choose chapter or problem)
A point particle P is acted on by a force, F , which isdirected toward a fixed point O; this is called a centralforce. Let r (t) be the position of the particle with respectto O and let v (t) be its velocity. Use Newtonssecond law F = ma , where m is mass and a is acceleration,to show that r (t)v (t) = c , a constant vector.Explain why this tells us that the particle always movesin the same plane.
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