A flat plate \(100 \mathrm{~cm}\) long and \(150 \mathrm{~cm}\) wide is held at a temperature of \(20^{\circ} \mathrm{C}\). The plate is immersed in an air stream at \(40^{\circ} \mathrm{C}\) and \(1 \mathrm{~atm}\). The free-stream velocity of the air is \(5 \mathrm{~m} / \mathrm{s}\). Determine:

a. The shear stress on the surface of the plate at \(x=50 \mathrm{~cm}\) from the leading edge.

b. The heat flux on the surface of the plate at \(x=50 \mathrm{~cm}\) from the leading edge.

c. The total drag force on the one side of the plate exposed to the fluid.

d. The total heat flow to the one side of the plate from the fluid.