A friend tosses a ball fo mass m to you with a speed v. When you catch the ball, you feel a noticeable sting in your hand. If you now catch a ball of mass 2m and speed v/2, is the sting you feel greater than, less than, or the same as that felt when you caught the first ball.
-the two balls have the same momentum. however, the first ball has a KE equal to 1/2mv^2 and the second ball has half that much KE
-->thus, less energy is dissipated in stopping the second ball, so it has less "sting"