Physics 50 "Study Guide" for Midterm #1 ("Laundry List" of important concepts) by Todd Sauke Concept (important concepts in bold; vectors also shown in bold ) Symbol or Equation We use the international SI system of units which employs the meter (m) kilo (k)=10 3 mega (M)=10 6 for length, the kilogram (kg) for mass, and the second (s) for time milli (m)=10-3 micro ( μ )=10-6 Trigonometry : We use sine , cosine , and tangent functions to relate sin( θ) = h o /h θ = sin-1 (h o /h) angles to the ratios of various lengths of the sides of right triangles cos( θ ) = h a /h θ = cos-1 (h a /h) Angles can be measured in radians (2 π rads per circle) or in degrees tan( θ ) = h o /h a θ = tan-1 (h o /h a ) (360 ˚ / circle). Set your calculator correctly. h 2 = h o 2 + h a 2 (Pythagoras) Physics quantities are either scalars or vectors (magnitude & direction) | v | = a positive scalar, "v" Unit vectors give only directional information, eg. î for x-axis, ĵ for y (scalar) * ( unit vecto r) = vector When adding vectors , think of the vectors' components separately components of vectors add Scalar product ("dot product") of two vectors gives a scalar result A • B = A B cos ( φ ) Vector product ("cross product") of two vectors gives a vector result
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