You are collecting water from a well by lowering a bucket on a rope. The inertia of the empty bucket is \(0.72 \mathrm{~kg}\), and the inertia of the rope is negligible.

(a) If you lower the empty bucket with a downward acceleration of \(4.8 \mathrm{~m} / \mathrm{s}^{2}\), what is the tension in the rope?

(b) You now pull the filled bucket, with total inertia \(6.6 \mathrm{~kg}\), back to the top of the well. If the maximum tension that the rope can support is \(100 \mathrm{~N}\), what is the maximum upward acceleration for the bucket?