Problem 5 (14 pts) A straight metal pin can be floated on the surface of the water, even though the pin is much denser than water. This is accomplished by taking advantage of the surface tension: for example, by laying the pin horizontally on a small piece of tissue paper, and then placing the paper-and-pin combination on the water surface. The paper quickly absorbs the water and falls beneath the surface, leaving the pin floating. (i) If the density of the pin is 5000 kg/m, what is the largest diameter of a pin that can be floated in this way? You may ignore the buoyance effect here. (8 pts) (ii) What would the largest diameter of the pin be IF accounting for buoyance force as well? Hint: You will need to take account for the submerged portion of the pin. (6 pts) For the water/air interface, the surface tension o is known to be 0.072 N/m, the density of 1000 kg/m, the gravitational acceleration g = 9.8 m/s2. water pwater