2. [-110 Points] DETAILS SERPSE1O 13.1.0P.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Three uniform spheres of masses in = 3.00 kg, m2 = 4.00 kg, and m3 = 7.00 kg are placed at the corners of a right triangle 1 (see gure below). Calculate the resultant gravitational force on the object of mass m2, assuming the spheres are isolated from the rest of the Universe. (: li+f him-\"N y (03.00) m |_ "'1 (-1.00.[)) m *1?\" x me (D 03 :10 \"I Need Help? _'_ 3. [-i10 Points] DETAILS SERPSE10 13.2.P.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Miranda, a satellite of Uranus, is shown in part a of the figure below. It can be modeled as a sphere of radius 242 km and mass 6.68 x 1019 kg. G) (a) Find the free-fall acceleration on its surface. m,'s2 (b) A cliff on Miranda is 5.00 km high. It appears on the limb at the 11 o'clock position in part a of the figure above and is magnified in part (b) of the figure above. A devotee of extreme sports runs horizontally off the top of the cliff at 5.30 m/s. For what time interval is he in flight? (Ignore the difference in 9 between the lip and base of the cliff.) l _II 5 (c) How far from the base of the vertical cliff does he strike the icy surface of Miranda? [ lm (d) What is his vector impact velocity? m/s below the horizontal Need Help? _' 5. [110 Points] DETAILS SERPSE10 13.3.P.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1 890 kg. It has strayed too close to a black hole having a mass 101 times that of the Sun. The nose of the spacecraft points toward the black hole, and the distance between the nose and the center of the black hole is 10.0 km. Black hole $3iiiiiiiiiEJEQQLLi 1D l-ilflil In ~}-// [0.0 km //-{ (D (a) Determine the total force on the spacecraft. [w (b) What is the difference in the gravitational fields acting on the occupants in the nose of the ship and on those in the rear of the ship, farthest from the black hole? (This difference in acceleration grows rapidly as the ship approaches the black hole. It puts the body of the ship under extreme tension and eventually tears it apart.) lN/kg Neee Help? 6. [l10 Points] DETAILS SERPSE1013.3.0P.010. MY NOTES ASK YOUR TEACHER Three equal masses are located on a coordinate grid so that the masses and the origin form a square with side length E, as shown in the figure. Find the magnitude and direction of the gravitational field at the origin due to these masses. 0 \"'x (3 Find the magnitude of the gravitational eld at the origin due to these masses. (Use the following as necessary: m, f, and G.) e=l Find the direction of the gravitational field. {Give your answer in degrees counterclockwise from the +x-axis.) counterclockwise from the +x-axis Need Help? B. [-110 Points] DETAILS SERPSE1O 13.4.0P.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A comet (see the gure below) approaches the Sun to within 0.570 AU, and its orbital period is 79.6 yr. [AU is the symbol for astronomical unit, where 1 AU = 1.50 x 1011 m is the mean Earth-Sun distance.) How far from the Sun will the comet travel before it starts its return journey? (Orbit is not drawn to scale.) (3 Neee Help? _