Can somebody please help me with these physics questions?

Question

1.) The mass of a piece of ice is 0.590 kg, density of water = 1.00 × 10³ kg/m³, and density of ice = 917 kg/m³. What is the buoyant force on the ice floating freely in liquid water? Enter a positive answer if the buoyant force is upward and a negative answer if the buoyant force is downward.

2.) A bug from South America known as Rhodnius prolixus extracts the blood of animals. Suppose  Rhodnius prolixus extracts 0.300 cm³ of blood in 25.0 min from a human arm through its feeding tube of length 0.200 mm and radius 5.00 μm. What is the absolute pressure at the bug’s end of the feeding tube if the absolute pressure at the other end (in the human arm) is 106 kPa? Assume the viscosity of blood is 0.00130 Pa·s. Give answer in kPa.

Answer 1

In physics, the words used in problems tell us a lot about how to set up our free body diagrams and get a solution- for #1 here, the fact that the ice is "floating freely in water" tells us that the forces on the object are balanced, at least in the y-direction, because the object is not moving up or down. If the object is floating, and we know it has weight (due to the force of gravity), the buoyant force must oppose the force of gravity, and therefore be directed up. Its magnitude must also be equal and opposite to Fg = -mg. Therefore, Fb = +m(g),

Fb = 5.79 N.