Please answer all parts.

A 0.453 kg lump of clay is thrown at a speed of 3.08 m/s toward an L = 1.0 m long ruler (ICOM = 2ML2), also with mass 0.453 kg, which is initially at rest on a frictionless table. The clay sticks to one end of the ruler, and the ruler+clay system starts to slide and spin about the system's center of mass (which is not at the same location as the ruler's original center of mass). Image size: s M L Max V (1 points) Part a How far from the top of the ruler is the center of mass of the lump of clay + system? This should be a positive distance from the top edge of the ruler. Scroll To TopPart a (1 points) How far from the top of the ruler is the center of mass of the lump of clay + system? This should be a positive distance from the top edge of the ruler. Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8 Enter answer here m No answer submitted CHECK ANSWER 0 of 6 checks used Part b (1 points) What is the moment of inertia of the lump of clay + ruler system about its combined center of mass? You can treat the lump of clay as a point mass, and be sure to use the parallel axis theorem to correctly compute the moment of inertia of both the rule and clay relative to the system's center of mass. Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8 Enter answer here kg m?Part b (1 points) What is the moment of inertia of the lump of clay + ruler system about its combined center of mass? You can treat the lump of clay as a point mass, and be sure to use the parallel axis theorem to correctly compute the moment of inertia of both the rule and clay relative to the system's center of mass. Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8 Enter answer here kg m? No answer submitted CHECK ANSWER 0 of 6 checks used Part c (1 points) What is the rotation speed of the ruler+clay system after the collision? Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8 Enter answer here radians/s