An atomic nucleus suddenly bursts apart (fissions) into two pieces. Piece A, of mass mA, travels off to the left with speed vA. Piece B, of mass mB, travels off to the right with speed vB. (a) Use conservation of momentum to solve for v B in terms of mA, mB, and vA. (b) Use the results of part (a) to show that KA/KB = mB/mA, where KA and KB are the kinetic energies of the two pieces.

Solution 26E Step 1: By using the law of conservation of momentum we have m v = m v A A B B Since we need to find v we shall rearrange the equation we get B m v v B A A mB Thus we have the velocity of the piece B