In this problem you will use the bisection method to compute the eccentric anomaly E in equation (2) for the earth to within an absolute error of 10-3 and then use this value to compute the x and y coordinates of the earth. The approximate input parameters for the earth are e = 0.0167, w = 149.6 106 km. Compute E,x, and y for the following values of t: 2πT 365.25635 days' and a =

the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom.  What is the approximate density, in kilograms per cubic meter, of a nucleus?

(a) Compute the mass of the earth from knowledge of the earth-moon distance (3.84 * 10^8 m) and of the lunar period (27.3 days). (b) Then calculate the average density of the earth. The average radius of the earth is 6.38 * 10^6 m.

Using your values for 7, calculate the average period Ibar (I) and its standard error. How does the error on the average period /bar (T) compares to the errors on the periods, I? What can you do to reduce the uncertainty on /bar (T)? What can you do to reduce the uncertainty on 7 ? Peried Trial T AT 4 141 $ 10.69 +α-0.5 2 10.60 + or -0.5 2 10.40 +α-0.5 10.43 +α-0.5 S 10.37 + or -0.5 Using your values for T, calculate the average period 7 and its standard error How does the error on the garage period compares to the errors on the periods, 7? What can you do to reduce the uncertainty on 7? What can you do to reduce the uncertainty on T7