If the uniform magnetic field has a magnitude of 32.5 ~\text{mT}32.5 mT, then calculate the magnitude of the electric field that will cause a proton entering the velocity selector at 35.935.9 km/s to be undeflected. Give your answer in units of kV/m.

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