Two uniform spherical stars made of same material have radii and

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

Two uniform spherical stars made of same material have radii RR and 2R2R. Mass of the smaller planet is mm. They start moving from rest towards each other from a large distance under mutual force of gravity. The collision between the stars is inelastic with coefficient of restitution 1/21/2. Kinetic energy of the system just after the collision is: (A) 8Gm23R\frac{8Gm^2}{3R} (B) 2Gm23R\frac{2Gm^2}{3R} (C) 4Gm23R\frac{4Gm^2}{3R} (D) cannot be determined

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