The space probe Deep Space 1 was launched on October 24, 1998. Its mass was 474

Question

The space probe Deep Space 1 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 spectacularly successful. At a thrust of 56 mN how many days were required for the probe to attain a velocity of 775 m/s (1730 mi/h), assuming that the probe started from rest and that the mass remained nearly constant?

Explanation / Answer

F = MA 0.056 = 474A 0.056/474 = A A = 1.18*10^-4 V = Vo + At 775 = 0 + 1.18*10^-4 * t 775/1.18*10^-4 = t t = 6567796.61seconds = 1824.39 hrs. =76days

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