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The space probe Deep Space I was launched on October 24, 1998. Its mass was 474

ID: 2238249 • Letter: T

Question

The space probe Deep Space I was launched on October 24, 1998. Its mass was 474 kg. The goal of the mission was to test a new kind of engine called an ion propulsion drive. This engine generated only a weak thrust, but it could do so over long periods of time with the consumption of only small amounts of fuel. The mission was spetacularly successful. At a thrust of 49 mN how many days were required for the probe to attain a velocity of 835 m/s (1868 mi/h), assuming that the probe started from rest and that the mass remained nearly constant?
1 days

Explanation / Answer

F = MA 0.056 = 474A 0.056/474 = A A = 1.18*10^-4 V = Vo + At 805 = 0 + 1.18*10^-4 * t 805/1.18*10^-4 = t t = 6822034 seconds = 1895 hrs. = 79 days

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