Problem 5. Binary star systems: Center of mass. (Palen, et. al. Chp. 10 1* Ed. Problem 65) dz m, = 3m2 The center of mass is where |the fulcrum of a balance must be. dz = 3d, FIGURE 10.15 The center of mass of two objects is the "balance" point on a line joining the centers of two masses. Study Figure 10.15 in the text (1* ed.). Where would the center of mass be located if а) т, — т,? b) M¡ = 2m,? c) 2m2 = 3m,? %3D

Use Kepler’s 3rd Law to calculate the mass of a star which has a planet orbiting at 2.35 A.U. and takes 4.56 Earth years to complete one full orbit.

CCC G CG PO a CSASEG ezto.mheducation.com/ext/map/index.html?_con%3Dcon&external_browser%3D0&launchUrl=https%253A%252F%252Fnewconnect.mheducation.com%252 Saved Help Required information Point particle A has a mass of 162 g and is located at (x, y, z) = (-3.00 cm, 5.00 cm, 0), point particle B has a mass of 300 g and is at (6.00 cm, 0, 0), and point particle C has a mass of 502 g and is at (-5.00 cm, –4.00 cm, 0). The z-axis is perpendicular to the xy-plane and points out of the page. pok nt nt nces B Co Find the rotational inertia of the system of particles shown in the figure assuming the system rotates around the x-axis. |g-cm2 ..pdf A Experiment_27_L..pdf

1. Read the comic below and answer the following questions. WHAT ARE YOU DOING? SPINNING COUNTERCLOCK WISE EACH TURN ROBS THE PLANET OF ANGULAR MOMENTUM SLOWING ITS SPIN THE TINIEST BIT LENGTHENING THE NIGHT, PUSHING BACK THE DAWN GIVING ME A LITTLE MORE TIME HERE WITH YOU (a) If her rotation is lengthening the night, is she in the northern or southern hemi- sphere? Explain. Note that if you are looking down on the North Pole, the Earth spins counter clockwise. Likewise, the rotation is clockwise if you are looking down onto the South Pole. (b) Assume she standing on the Pole (based on your answer to part a) and is rotating at 2 rev/s. You can assume she is a solid cylinder weighing 60kg with a 0.6m diameter. How much time might she gain for them? (Unsurprisingly this will be a very small number. So small, your calculator will probably just return 0, so you can leave your solution as an expression). You may need to use the fact that the Earth has mEarth = 6 x 10²4kg and radius REarth =…