2. (20 points) Watch the units. In lab you are given to 2 pieces of flat aluminum to build a capacitor. Each piece is 1.8 cm long and 1.1 cm wide. You arrange them 0.11 cm apart from each other and charge your capacitor to 22 nC. A small object with a charge of -0.82 nC and a mass of 0.75 mg is available to test the capacitor. Ignore gravity in this problem. A. List all known quantities. B. Sketch the capacitor labeling with variables. Label the charge on each plate of the capacitor. Indicate the direction of the electric field in your charged capacitor. Indicate which plate is at high potential and which is at low potential. C. Determine the capacitance of the plates when there is no charge on them? D. Determine the electric field, E, and the electric potential difference, AV, between the plates when the capacitor is charged. E. Determine the total energy stored in the capacitor with this charge. F. Determine the force (magnitude and direction) on the small, charged object when it is placed in the exact middle of the charged capacitor? G. What is the acceleration (magnitude and direction) of this object at that location? Ignore gravity. H. What is the electric potential energy, U, of the object when it is placed at rest in the middle of the capacitor? 1. Using energy conservation, determine the object's speed when it reaches one of the plates. Which plate does it move toward?