A lead weight with a volume of 0.82 × 10-5 m3 is lowered on a fishing line into a lake to a depth of 1.0 m.

(a) What tension is required in the fishing line to give the weight an upward acceleration of 2.1 m/s2?

(b) If the initial depth of the weight is increased to 2.0 m, does the tension found in part (a) increase, decrease, or stay the same? Explain.

(c) What acceleration will the weight have if the tension in the fishing line is 1.2 N? Give both direction and magnitude.