To investigate the transfer of kinetic energy using ice in a sample of water, the procedure that best allows for a measurement of how energy is transferred through mass and temperature changes is procedure 3. This is because it involves measuring the mass of the water and the changes as the ice cubes melt, which directly relates to the concepts of kinetic energy exchange as the ice absorbs heat from the warmer water, leading to changes in temperature and phase.
Therefore, the best procedure to investigate the transfer of kinetic energy is 3.