Cart 1 has a mass of 20.0 kg, cart 2 has a mass of 10.0 kg, and cart 3 has a mass of 15.0 kg. Coefficient of Kinetic friction is 0.10. A third cord, which pulls on cart 1 and is at an angle of 23o above the horizontal, has a tension of magnitude 150 N. (hint: FN of cart 1 is NOT equal with Fg). Draw FBD for each cart.

a) Determine the magnitude of the acceleration of the carts.

b) Determine the magnitude of the tension (T2) in the cord between m3 and m2.

c) Determine the magnitude of the tension (T1) in the cord between m2 and m1.