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An attractive central force exerted on a particle of mass m causes the particle to travel...

An attractive central force exerted on a particle of mass m causes the particle to travel in a bound orbit. The orbit is elliptical with semi-major axis a and the force has magnitude Cm/r2 , where C is a constant and r is the orbit radius. If the particle's speed is v = (C/2a)0.5 when it is farthest from the source of the force, what is its speed when it is nearest the force source?

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