1. The problem statement, all variables and given/known data A uniform solid sphere has radius R and mass M. It is initially at rest but is free to move, floating in space with nothing touching it. It suddenly receives an impulse J at a tangent to its surface. As a function of R, M and J, find formulae for: (a) the linear velocity of the sphere, (b) its angular velocity around its centre of mass (c) its total kinetic energy after the impulse. 2. Relevant equations L=Iω,J=MV,V=ωR 3. The attempt at a solution a) All particles on the sphere have the same angular velocity and different linear velocities depending on their distance from the centre. J=ΔP=M(V-u)=MV so V=J/M Whose velocity is this ? ( V=J/M) .Is it the C.o.M ? b) L=Iω <=> ω=L/I = 5L/(2MR2) But how can i move from here ? c) well if i knew how to solve b) then c) is an easy one !