At the Aircraft Landing Dynamics Facility located at NASA\'s Langley Research Ce

Question

At the Aircraft Landing Dynamics Facility located at NASA's Langley Research Center in Virginia, a water-jet nozzle propels a 46,000 kg sled from zero to 400 km/hour in 2.5 seconds. (This sled is equipped with tires that are being tested for the space shuttle program, which are then slammed into the ground to see how they hold up.) (a) Assuming a constant acceleration for the sled, what distance does it travel during the speeding-up phase? (b) What is the net work done on the sled during the time interval?

Explanation / Answer

(a) distance = average speed * time = (1/2)*(v1 + v2)*t = (1/2)*(0 + 400 km/hr) * 2.5 seconds = 200 x 10^3/3600 m/s * 2.5 s = 139 m (b) W=Change in kenetic energy = 0.5mv^2 - 0 = 0.5*46,000*(440 x 10^3/3600)^2 = 3.44 x 10^8 J

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