Physics - Center of Mass Question with Solution | TestHub

The centres of the spheres 1, 2 and 3 lie on a single straight line. Sphere 1 is moving with an (initial) velocity${\mathrm{v}}_1$ directed along this line and hits sphere 2. Sphere 2, acquiring after collision a velocity ${\mathrm{v}}_2$, hits sphere 3 . Both collisions are absolutely elastic. What must be the mass of sphere 2 (in kg) for the sphere 3 to acquire maximum velocity (The masses ${\mathrm{m}}_1$ and ${\mathrm{m}}_3$ of spheres 1 and 3 are 9kg & 1kg respectively)?