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Why is acceleration towards the pulley considered positive? Wouldn't that make gravity negative?

Before you mark this as solved, does anyone know how to find the tension on each side of the pulley?

Thanks man.

[SOLVED] Torque: Turning Heavy Door with "Steady" Force Homework Statement Hello. The question reads, "...This is the world's heaviest hinged door. The door has a mass of 44,000kg, a rotational inertia about an axis through its hinges of 8.7X10^4 kg*m^2, and a width of 2.4m...

The first part of this problem says that a 8.0kg stone rests on top of a spring, and compresses it by 10.0cm. It then asks what the spring constant is. This is the work I did (assuming g = 10m/s^2, not 9.8m/s^2): (8.0kg)(10m/s^2) = 1/2k(10cm)^2; 80N = 50cm; k = 1.6 But, the textbook says...