s aXlS of pe shown is symmetric about it #1. The following object is made of a bent thin plastic rod. The final Sha symmetry. 3) Draw the axis of symmetry. Label it E'using a blue pen. \\ b) The arrows shown are the xaxis and yaxis with arrowheads on the positive side of each axis. In math and science, the direction ofthe H zaxis obeys the right-hand rule T x j" = k, where fj, and I? are vectors with magnitude 1 and which point in the x, y, and z direction, respectively. I have labeled the zaxis with the symbol , which means \"into the page\" (as \\ opposed to O, which means "out ofthe page") \\ Label the given arrowheads with their \\ appropriate names x and y. c) Suppose that the density of the plastic is increasing as x increases such that the linear density 11 obeys the function 1(x) = 4.00 + 3.0035 g/cm. What is the mass of the entire object if each of the rods are 5 cm long (Note: the fact that [ gave you linear density implies that you don't need to worry about the x=b thickness of the wire)? Recail that, for a continuous object, you should use M = fx=a dm. Also note that aim = Rdx and that the original object is made up of two pieces. You can use the power rule for your integral. M = ____ kg x=b _ xdm . . . . d) Use L'HIT. Locate the center of mass and label that pomt (Including coordinates) as C. Please use a blue pen. e) Assume that the object is now slid (not twirled) along the x-dlrection across a patch of ice such that we 1.50 and v0 = 120.00 E. What are the initial linear and angular momenta of the object (answer SEC 5 using units of g-m2/s and g'm/s)? Linea r: Angular: f) it the ice has a coefficient of friction p5 : 0.10, what will the linear velocity of the object be after 1.00 seconds? Answer in cm/sec. I]: g) How much work was done on the object by the frictional force by the time it has stopped sliding