Extra credit activity: Density of cooking oil. The purpose of this activity is to compare the density of cooking oil with the density of water. Measure a half cup of water, pour it into a plastic sandwich bag, and seal the bag shut. Measure a half cup of cooking oil, pour it into another bag, and seal the bag shut. [f you don't have a measuring cup, make a mark on a drinking cup about halfway to the top and use that The exact volume domn't matter. We only care that the volume of water and volume of cooking oil are equal. Cut two pieces of string, each about 15 inchm long, and tie the bags to opposite ends of a ruler (see gure). Tie a third string at the center of the ruler. Holding the center string, adjust the positions of the bags until they are balanced and the ruler hangs horizontally. Record the distance of each bag from the center of the ruler where the third piece of string is tied. Record the distance for the bag containing water as the answer to part (a) of this problem. Record the distance for the bag containing cooking oil as the answer to part (b) of this problem. (You may use any units (inches cm, etc) for thme two values as long as you use the same units for both values.) Draw a freebody diagram of the ruler. Write an expreaion for the net torque about the center of mas of the ruler. Solve this expression for the ratio of the mass of the water to the mass of the cooking oil. Since they have equal volumes, this result is also the ratio of their densities Using the known density of water, calculate the density of cooking oil, and record the rmult in gfcm3 {to the nearest 0.01 gfcm3) as the answer to part (c) of this problem. (a) Distance for the bag containing water. |:' Range: [I], 1000] (b) Distance for the bag containing oil. : Range: [(1, 1000] (e) Density of the cooking oil. gtcm3 ( i 0.02 gfcm3)