1. (Target CG) A star with a mass of4 x 1030 kg and radius 9.8 x 108 n1 is rotating at 2.9 x 1C!6 rad/s. It collapses to a radius of 1.2 X 10'1 Hi. How fast does it rotate after collapsing? Treat the start like a solid sphere. 2. (Target M1) A 1200kg car is being towed up a steep hill. The hill makes a 16 angle with the horizontal. The cable being used to tow the car is rated to 2500 N that is, the cable will break if the tension is greater than ZSUUN . (a) If the car was being pulled by one cable, would the cable break? Explain your reasoning. (b) If the car was being pulled by two cables instead, would they break? Explain your rea- soning? For each part, include a free body diagram showing all the forces acting on the car. Include an appropriate coordinate axis. 3. A 5.4 x 1023 kg planet is orbited by a 1.1 x 1016 kg moon. The moon is 9.4 X 106 n1 from the planet (at this distance, the radius of the planet and radius of the moon are small enough that each body can be treated as a point). (a) (Target M3) What is the force of gravity the planet exerts on the moon? (b) (Target M2) How fast is the moon traveling