. Icontel I m --U\""\"lll'l?.z;:.lr'9.\"9'.lli Lpj'j m ur x [.'l nr;|I'lr.- mg {3] Draw an extended Freebody diagram For the plank and a regular Free body diagram for the stone. (b) IF the drawbridge is being held in position and not moving. what is the tension in the rope? {c} What is the minimum mass the stone must have in order to keep the piank motionless in the position shown? Problem 2 {a} What is the value of gm\"... the acceleration of gravity on the surface of the moon? [mass of the moon; Mama\" 2 7.35 x 1'02? kg; radius of the moon: Hum" = l.'r'-l x it)\" to) {b} What is the escape velocity From the moon's surface? (c) Suppose you want to put a satellite in a circular orbit 100k\": above the surface of the moon. What speed does it need to have? (d) If the satellite's inertia is Ennkg. what is the gravitational potential enfrgy of the moonsatellite system for that orbit? {e} Under the same assumptions, what would be the satellite's angular momentum? (Around the center oF the moon.) Suppose now that the satellite is placed in orbit starting at that height and with the correct speed. as calculated on part (c), but the angie of insertion is wrong. so the initial velocity has a small radial component: (F) What kind oF orbit (circular. elliptic,parabolic, etc.) does the satellite end up in? (g) Is the satellite's angular momentum constant For that orbit? {h} What is the semimajor axis of that orbit? (Hint: think about the total mechanical energy and how it compares to the previous case.) Problem 3 As you travel From the Earth to the Moon. you must reach a point where the gravitational pull of the Moon is equal in magnitude. but opposite to. the gravitational pull of the Earth. How Far From the center of the Earth is that point. and how strong is the Earth's pull there. compared to how strong it is at the Earth's surface? (Take the center of the Moon to be a distance of 3.8-1-1 x 11151;: From the center of the Earth. The mass oF the Earth is 5.97 x ioaikg: the mass of the Moon was given in the previous problem!)