Compute all parts of given question:
Question: A 740 N physics student stands on a bathroom scale in an 850-kg (including the student) elevator that is supported by a cable. As the elevator starts moving, the scale reads 640 N.
Part A: Find the acceleration of the elevator (magnitude and direction -- take up to be the positive direction).
Part B: What is the acceleration if the scale reads 860 N?
Part C: If the scale reads zero, what is the acceleration of the elevator?
Part D: What is the tension in the cable in parts (a) and (c)?
Please show your results in detailed calculations.