Displayed to the right are two carts connected by a cord that passes over a small frictionless pulley. Each cart rolls freely with negligible friction. Consider the mass of the cart to be m1 and the angle the first cart sits on to be θ1, while the mass of the second cart as m2 and the angle it sits on to be θ2. 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 θ1, the mass of the second block m2, the angle θ2, and the acceleration due to gravity g. b) 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 θ2, and the acceleration of the blocks found previously a.

Displayed to the right are two carts connected by a cord that passes over a small frictionless pulley. Each cart rolls freely with negligible friction. Consider the mass of the cart to be m1 and the angle the first cart sits on to be θ1, while the mass of the second cart as m2 and the angle it sits on to be θ2. 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 θ1, the mass of the second block m2, the angle θ2, and the acceleration due to gravity g. b) 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 θ2, and the acceleration of the blocks found previously a.