Hi I need help on questions 1,2, and 3. Thank you so much!

1. [012 Points] PREVIOUS ANSWERS SERPSE1013.1.0P.001. 1/6 Submissions Used A IZO-kg object and a 420-kg object are separated by 4.30 rn. (a) Find the magnitude of the net gravitational force exerted by these objects on a 32.0-kg object placed midway between them. 0.00000189 x Draw a picture of the three objects, including the forces exerted on the third. N (b) At what position (other than an infinitely remote one) can the 32.0-kg object be placed so as to experience a net force of zero from the other two objects? :] X rn from the 420 kg mass toward the 120 kg mass Need Help? 2. [I2 Points] SERPSE1013.1.0P.003. 0/6 Submissions Used ASK VOUR TEACHER Three uniform spheres of masses m1 = 2.50 kg, m2 = 4.00 kg, and m3 = 5.50 kg are placed at the corners of a right triangle (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. (:ii+:]i)an~ y | (o, 3.00) In \"H (74.00, 0) m Fl? __4_ x E2 0 "'2 (9 Need Help? 3. [l2 Points] DETAILS SERPSE10 13.1.0P.005.B|O. 0/6 Submissions Used MY NOTES ASKVOURTEACHER The Roche limi s the radial distance from the center ofa planet at which the tidal forces exerted by the planet on one of its moons will overcome the gravitational force holding the moon together. The result is that the moon will be torn apart (or never succeed in forming in the first place) and eventually form a ring around the planet from the material of the dismtegrated moon. The Roche limit can be determined from M 1/3 _ | I de 1.26men( pane ) , moon where RM)" is the radius of the moon and Mplanet and Mmoon are the masses of the planet and moon, respectively. (a) Titania, the largest moon of Uranus, has a radius of 7.88 x 105 m and mass of 3.53 x 1021 kg. At what distance from Uranus will Titania break up due to tidal forces exerted by the planet? (Give your answer In terms of Uranus's radius and measured from the planet's center.) l lRUams (b) Near very dense bodies such as black holes, the tidal forces exerted by that body become enormous, so that matter is elongated in the radial direction in a process called spaghetticationt A 30.3 kg astronaut wishes to approach a black hole eleven times more massive than the Sun, with a Schwanschlld radius of 32.4 km. if the human body can withstand a tension along its axis of soon x 105 N, what is the distance of closest approach for the astronaut (in km) if he Wishes to avoid spaghettification if he is 1.70 m tall? (Assume the astronaut intends to approach the black hole feet rst) l lkm Need Help? a.- l