A hard rubber ball on a string is being used as a pendulum. When you first look at the pendulum, the ball is being held to one side with the string fully extended. Suddenly, the ball is released from rest and allowed to swing back and forth. For the first three or four swings, the ball almost reaches the height from which it was released. However, after a long time has passed, the ball finally comes to rest, hanging straight down. (a) If the ball has a mass of 6.5 kg and is released from a height of 76 cm above its final resting height, find the amount of additional thermal energy that now exists in the air, the ball, the string, and the pivot of the pendulum. Give your answer in joules. (No Response) J (b) Answer the same question in kilocalories rather than joules.

The astronauts on the space shuttle flights experienced an acceleration of 29 m/s2 (about 3 "g's") during lift-off. what upward force must the astronaut's seat apply to the astronaut in order to cause this acceleration? assume the astronaut's mass is 70 kg, and compute this force when the acceleration is near the earth's surface so their weight equals latex: mg m g .

Global climatic patterns are changing because of the melting of polar ice caps. the melting of polar ice caps is an example of the interaction between the atmosphere and cryosphere cryosphere and geosphere hydrosphere and geosphere biosphere and cryosphere

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”.