Question

3. Certain aircraft can be refueled in midair. During this process, large amounts of gasoline (which has a density of 2.7 kg/gallon) are pumped into the fuel tank of the moving aircraft. If a certain aircraft of mass 15,000 kg has 500 gallons of gasoline pumped into it during the course of 1 minute, how much extra thrust force must it supply to maintain its constant velocity of 270 m/s? Assume that the fuel moves vertically into the tank, so that it has no initial momentum along the direction of motion. Hint: one piece of information above is not necessary to solve the problem.

Answer 1

Solution in the uploaded image

Solution Men mi ma 2-7x 500 = 135 Final mass your saft before refulling, 150ooly mass of fuels filled : led- volumex density 1350kg 1635019 velocity : time Taken = min= 60 sec. sg aircraft = 15000 + 1350 = 270 m/s Thrust = PE - Pi time Entrata thoust force required, E MEV- Hiv t FE (16350 - 15000) 28 270 60 ITRE 6075N thrust is required