Upon completion of the course, students will be able to do the following:
1. Solve problems involving vectors in polar coordinates and rectangular coordinates using vector addition, subtraction, and multiplication (dot and cross products).
2. Determine the magnitude of vectors and the angles between vectors.
3. Demonstrate knowledge of the basic and fundamental units in the S.I. system and the English system. Be able to use dimensional analysis and to perform unit conversion. Show the ability to make ‘order of magnitude’ calculations.
4. Restate Newton’s Laws of Motion. Solve vector problems using Newton’s Laws. In doing this, employ the knowledge of friction (static and kinetic) and uniform circular motion. Be able to derive the expression for centripetal acceleration for uniform circular motion. Draw free-body diagrams.
5. Define work, kinetic energy and potential energy, and deal with problems involving constant and variable forces.
6. Demonstrate the use of the work-energy theorem and the employment of the conservation of energy.
7. Define the concepts of linear momentum, impulse, and center-of-mass (conservation of momentum), and demonstrate an understanding of these principles by solving problems in one and two dimensions.