A thin, hollow tube with cross-sectional area 2 cm2 and length 20 cm has a 22 g mass at the bottom. It is dropped into a volume of water and comes to a rest in a vertical position. a. If you move the bobber up or down, it will experience a force that returns it to its equilibrium position like a spring. What is the effective spring constant (in N/m) created by the weight and buoyant force?
b. What is the natural frequency at which the bobber will bob in rad/s? Answer is 1.95, and 9.88 respectively. Please explain.

Astone is dropped with no initial velocity from the top of a cliff and hits the ground a time of 3.9 s later. what is the height of the cliff, in units of meters? you may assume that air resistance is negligible. give the answer as a positive number question 15 a figure skater is rotating at a rate of 200 revolutions per minute. what is the angular speed, in units of rad/s? 200 o 20.9 12000 o 3.33

Frequency of electromagnetic waves that a radio station is assigned. what do you call this type of wave?

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”.