Explain why a building made of bricks has smaller entropy than the same bricks in a disorganized pile. Do this by considering the number of ways that each could be formed (the number of microstates in each macrostate).
Vectors Position and displacement vectors Vector Addition and subtraction Velocity and acceleration vectors Multiplying vectors Vector and Scalar Vector: a quantity that has both magnitude and direction Scalar: a quantity that has only magnitude How to express a Vector: Graphical: An arrow with a magnitude and directions Components: a component of a vector is the projection of the vector on an axis; the x- component and the y-component. o Magnitude is the square root of x + y 2 Unit vectors: a vector that has a magnitude of 1 and points in a particular directions; it specifies only a direction. Position Vector The Location of a particle relative to the origin is given by a position vector. Displacement Vector Displacement is the shortest distance from the initial to the final position Average velocity in 3 dimensions: Time (t) scalar Position (r->) vector Displacement: Δr->=r->-r-> 0 Time interval: Δt= t-0 Definitions Acceleration: velocity is speeding up, slowing down, or changing direction Speed: magnitude of the velocity vector Speeding up: velocity vector’s magnitude is increasing Slowing down: velocity vector’s magnitude is decreasing
