The space probe Deep Space 1 was launched on October 24,1998. Its mass was 470 k

Question

The space probe Deep Space 1 was launched on October 24,1998. Its mass was 470 kg. The goal of the mission was to test anew kind of engine called an ion propulsion drive. This enginegenerates only a weak thrust, but it can do so over long periods oftime with the consumption of only small amounts of fuel. Themission has been spectacularly successful. At a thrust of 56.4 mNhow many days are required for the probe to attain a velocity of783 m/s (1752 mph), assuming that the probe starts from rest andthat the mass remains nearly constant?

Explanation / Answer

According to Newtons second law, F = ma a = F / m F = 56.4 mN = 0.056 N a = 0.056 / 470 = 1.19* 10-4 m/s2 then v=v(initial) +at 783 = 0 + 1.19* 10-4 *t t = 783 /(1.19* 10-4 )=   solve t = ----------days
then v=v(initial) +at 783 = 0 + 1.19* 10-4 *t t = 783 /(1.19* 10-4 )=   solve t = ----------days

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