Abrick of mass 4 kg hangs from the end of a spring. when the brick is at rest, the spring is stretched by 3 cm. the spring is then stretched an additional 2 cm and released. assume there is no air resistance. note that the acceleration due to gravity, g, is g=980 cm/s^2.
set up a differential equation with initial conditions describing the motion and solve it for the displacement s(t) of the mass from its equilibrium position (with the spring stretched 3 cm).

Heterogeneous mixture with larger particles that never settle is

Find the steady-state temperature at the center of the plate = /2, = /2) for sums of w from n=1 to n=19 (only odd values). find the value of n for which the change in /2, /2) is less than 1% from the value at the previous n. at this point, we consider the solution converged. does the value of the temperature at the center seem reasonable? in this part, the values of x and y are constant scalar values. you should produce a plot of the value of n on the horizontal and the estimate of the temperature at the center of the plate on the vertical. b. using the value of n (or larger) that resulted in convergence in part (a), create a contourf plot of the temperature distribution across the entire plate. use enough spatial subdivisions to create a useful plot. comment on the results. hint: you need to determine what “x” and “y” values to use to make your t matrix. i recommend using a different number of x and y values. use enough x and y values so that the plot is “smooth”.

An object is placed in front of a concave mirror between the pole and the focus of the mirror, what is the nature of the image formed by the mirror