A store clerk pulls three loaded shopping carts connected with two horizontal cords to help customers load their carts. Cart 1 has a mass of 9.1 kg, cart 2 has a mass of 12 kg, and cart 3 has a mass of 8.7 kg. Assume friction is negligible. A third cord, which pulls on cart 1 and is at an angle of 23 degrees above the horizontal, has a tension of magnitude 29 N.
a) Find the magnitude of the acceleration of the carts.
b) Find the magnitude of the tension in the cord between m3 and m2.
c) Find the magnitude of tension in the cord between m2 and m1.
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