Arobotic rover on mars finds a spherical rock with a diameter of 12 centimeters [cm]. the rover picks up the rock and lifts it 25 centimeters [cm] straight up. the rock has a specific gravity of 5.25. the gravitational acceleration on mars is 3.7 meters per second squared [m divided by s squared]. if the robot's lifting arm has an efficiency of 45% and required 12 seconds [s] to raise the rock 25 centimeters [cm], how much power in units of watts [w] did the arm use?

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