A spherically symmetric gravitational system of particles has a mass density \( \rho=\left\{\beg...
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A spherically symmetric gravitational system of particles has a mass density \( \rho=\left\{\begin{array}{l}\rho_{0} \text { for } r \leq R \\ 0 \text { for } rR\end{array}\right. \), where \( \rho_{o} \) is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed \( v \) as a function of distance \( r \) from the centre of the system is represented by
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