please answer all 3 questions

5) a) Find the minimum force required to lift 500 kg mass using the friction less and mass less pulley system shown in the figure. b) Find the tensions in each section of the ropes, Ti, Ta, Ts. Ta, and Ts. Ta 500 KE 6) What is the centripetal force (both magnitude and direction) of a 3 kg mass moving on a circular path at a location shown in the figure, if the speed of the particle is 5 m/s and the radius of the circle is 4 m? 7) A bolt drops from the ceiling of a moving train car that is accelerating at a rate of 2.5 m/$2. a) What is the acceleration of the bolt relative to the train car? b) What is the acceleration of the bolt relative to the earth