A driveway (density 2115 kg/m3 , conductivity 0.062 W/m K, specific heat 920J/kg K) initially at a uniform temperature of 55C, was hosed to suddenly bring its surface to 25C, and maintain at that temperature. a. Give a rough sketch of how the temperature will vary with depth at 3 different time instants after the hose was turned on indicating the surface temperature and the temperature far below the surface in the sketch. b. Estimate the temperature at a depth 3 cm below the surface after an hour, clearly stating the assumptions that underlie your solution. c. At that time instant (after an hour) what will be the heat flux at the surface and in which direction

During spring semester at mit, residents of the parallel buildings of the east campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. a balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. assume that the stretching of the hose obeys hooke's law with a spring constant of 89.0 n/m. if the hose is stretched by 5.80 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length? unitst 3 number-1497 the tolerance is +/-5% open show work click if you would like to show work for this question:

Determine the maximum r-value of the polar equation r =3+3 cos 0

Why does the equilibrium position of the spring change when a mass is added to the spring? will the mass oscillate around the new equilibrium position of the spring or the previous position without a mass attached to the spring? if the equilibrium position of the spring changes by 20 cm (assuming no initial mass) when a mass is added to the spring with constant 4.9 kg/s^2, what is the mass of the object attached to the spring?