Question

A 200 g meter stick has a 50.0 g lump of clay stuck on it at the 10.0 cm mark. It is initially at rest on a level, frictionaless surface, lying along the y-axis with its 50.0 cm mark at the origin. A second 50.0 g lump of clay, initially moving at 1.20 m/s i, collides with the meter stick and sticks to it at the 90.0 cm mark.

1. What is the initial momentum of the system of the stick plus lumps of clay?

2. What is the initial kinetic energy of the system of the stick plus lumps of clay?

3. What is the initial angular momentum of the second lump of clay about the center of the meter stick?

4. Is momentum conserved during this collision? Explain.

5. Is kinetic energy conserved during this collision? Explain.

6. Is angular momentum consesrved during this collision? Explain.

7. After the collision, what is the velocity of the center of mass of the stick and clay together?

8. After the collision, what is the moment of inertia of the stick and clay about the 50 cm mark?

9. After the collision, what is the angular speed of the stick?

10. After the collision, what is the rotational energy of the system of the stick plus clay?

11. After the collision, what is the translational kinetic energy of the system?

12. Where will the center of the stick be once it has made one complete revolution?