A student in a middle school classroom is throwing sharpened pencils into the ceiling while the sub is not looking. The pencil has a mass of 0.006 kg and is being thrown at a ceiling tile (mass of 0.5kg) with velocity of 40.0 m/s. In a closed system what would be the velocity of the ceiling tile and pencil after this inelastic collision. Set your coordinate system as positive in the direction that the pencil is thrown.

A51 kg woman skis down a hill and her kinetic energy is 9.96e4 j. what is her speed?

Using a caesar cypher with an offset of three characters (a -> d, b -> e, z -> c), what would be the correct cypher text for the plain text "attack at dawn"?

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”.