Say that you are in a large room at temperature tc = 300 k. someone gives you a pot of hot soup at a temperature of th = 340 k. you set the bowl up so that as it cools to room temperature the heat first flows through a carnot engine. the soup has cv= (33 j/k). assume that the volume of the soup does not change.
1. what fraction of the total heat qh that is lost by the soup can be turned into useable work by the engine?

Athin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity of v = 7.5 m/s. the two stationary surfaces are spaced 4 cm apart, and the medium between them is filled with oil whose viscosity is 0.9 n·s/m2. the part of the plate immersed in oil at any given time is 2 m long and 0.5 m wide. if the plate moves through the mid-plane between the surfaces, determine the force required to maintain this motion. what would your response be if the plate was 1 cm from the bottom surface (h2) and 3 cm from the top surface (h1)? if the plate moves through the mid-plane between the surfaces, the force required to maintain the motion will be n. if the plate was 1 cm from the bottom surface (h2) and 3 cm from the top (h1) surface, the force required to maintain the motion would be n.

(1 point) match the differential equations and their vector valued function solutions. you may wish to multiply at least one solution out fully, to make sure that you know how to do it. you can get the other answers quickly by process of elimination and just multiply out one row element.

Matter is needed to transfer thermal energy bya. conductionb. convectionc. radiation d. both a & b.