\fJ. Show {derive} that the theoretical percentage loss of total kinetic energy in terms of the cart masses is given by. Q m; = 1{}{}% KEI- ml+mz where Q represents the energy lost after the collision. Show all steps of your derivation. {I-lint: Start 1:vith conservation of momentum and energ' for the general case of a emig- inslhsffr reners. Solve the conservation of momentum expression for the velocity after the collision remembering the carts stick together. Then substitute the expression for the velocity after the collision into the conservation of energy equation. Do not forget to include an energy term \"Q\" to represent any energy lost in the collision.) \f