onsider a spherical planet of uniform density p. The stance from the planet's center to its surface (i.e., e planet's radius) is Rp. An object is located a stance R from the center of the planet, where < Rp. (The object is located inside of the planet.) Part B Rewrite your result for g (R) in terms of gp, the gravitational acceleration at the surface of the planet, times a function of R. Express your answer in terms of gp, R, and Rp. ► View Available Hint(s) g (R) = 15| ΑΣΦ ?

Part A Assuming that these spectral lines correspond to the 656.46-nm hydrogen line in the rest frame, estimate the speed V of the center of mass of the binary system. Express your answer in kilometers per second to three significant figures .Part B Determine the mass M of each star. Express your answer in kilograms to one significant figure.

Part E Functions are not all straight lines. If a function is curved, the derivative is not constant but changing. To find the derivative at any point, draw a line tangent to the graph at that point. The slope of the tangent line is the derivative. As you move along the graph, the slope of the tangent line changes, and so does the derivative. The graph in (Figure 5) shows a function z(t). The derivative of the function at t =1 is closest to: • View Available Hint(s) O -10 Figure O 10 O 5 x(1) O -5 20- B Submit 10- Part F Complete previous part(s) Provide Feedback Next >

2. A bead on a wire can slide with negligible friction on a hoop with radius R rotating at a constant rate with a period T. а. Find the angle 0 at which the bead would not slide on the hoop. Express this in terms of the values given above and any constants (e.g. g). Note: A FBD and proper setup of NII equations are required here. Do your algebra. b. If the period increases, will the bead slide upward, slide downward, or do neither? Explain why, using your result from part a. Can 0 be greater than or equal to 90°? Why or why not? Use FBDS and your result С. from part a as evidence. d. Are there any other angles at which the ball will not slide on the hoop? Explain why. Note: Think very carefully about your forces here. Use FBDS.