A cockroach of mass m lies on the rim of a uniform disk of mass 6.00*m that can rotate freely about its center. Initially the cockroach and disk rotate together with an angular velocity of 0.362 rad/s. The the cockroach walks halfway to the center of the disk.

(a) what then is the angular velocity of the cockroach-disk system?

(b) What is the ratio of the new kinetic energy of the system to its initial kinetic energy?

Acarpenter builds an exterior house wall with a layer of wood 2.9 cm thick on the outside and a layer of styrofoam insulation 2.3 cm thick on the inside wall surface. the wood has k=0.080w/(m⋅k), and the styrofoam has k= 0.010 w/(m⋅k). the interior surface temperature is 19.0 ∘c , and the exterior surface temperature is -15.0 ∘c . a.)what is the temperature at the plane where the wood meets the styrofoam? celsius b.)what is the rate of heat flow per square meter through this wall? /m^2