a) Considering the positive x direction to be pointing as it is in the image, write an equation for the acceleration that the two blocks experience in terms of the mass of the first block m₁, the angle ?₁, the mass of the second block m₂, the angle ?₂, and the acceleration due to gravity g.

b) What is the acceleration of the carts in meters per square second?

c) What is the equation for tension in regards to the rope coming from the second block? Answer in terms of the mass of the block m₂, the acceleration due to gravity g, the angle ?₂, and the acceleration of the blocks found previously a.

d) Calculate the tension in the rope T in newtons.

(10%) Problem 9: Displayed to the right are two carts connected by a cord that passes over a small frictionless v pulley. Each cart rolls freely with negligible friction. Consider the mass of the cart to be m1 = 15.9 kg and the angle the rst cart sits on to be 01 = 37, while the mass of the second cart as m2 = 28 kg and the angle it sits on to be 62 6 \" as x \\ 91 92 f = 49.5