11.a heat engine operates between two reservoirs at 800 and 20°c. one-half of the work output of the heat engine is used to drive a carnot heat pump that removes heat from the cold surroundings at 2°c and transfers it to a house maintained at 22°c. if the house is losing heat at a rate of 62,000 kj/h, determine the minimum rate of the heat supply to the heat engine required to keep the house at 22°c.

An engine, weighing 3000 n, is supported on a pedestal mount. it has been observed that the engine induces vibration into the surrounding area through its pedestal at the maximum operating speed. determine the stiffness of the dynamic vibration absorber spring in (n/m) that will reduce the vibration when mounted on the pedestal. the magnitude of the exciting force is 250 n, and the amplitude of motion of the auxiliary mass is to be limited to 2 mm note: in this question type-in right numbers, no decimals, no fractions, no unit. approximate to right number if needed