Problem

Raindrops. If the effects of the air acting on fa…

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Problem 71 Hard Difficulty

Are we Martians? It has been suggested, and not facetiously, that life might have originated on Mars and been carried to Earth when a meteor hit Mars and blasted pieces of rock (perhaps containing primitive life) free of the surface. Astronomers know that many Martian rocks have come to Earth this way. (Formation on one of these, search the Internet for "ALH 84001" ') One objection to this idea is that microbes would have to undergo an enormous, lethal acceleration during the impact. Let us investigate how large such an acceleration might be. To escape Mars, rock fragments would have to reach its escape velocity of $5.0 \mathrm{km} / \mathrm{s},$ and this would most likely happen over a distance of about 4.0 $\mathrm{m}$ during the impact. (a) What would be the acceleration, in $\mathrm{m} / \mathrm{s}^{2}$ and $g^{\prime} \mathrm{s}$ , of such a rock fragment? (b) How long would this acceleration last? (c) In tests, scientists have found that over 40$\%$ of Bacillus subtilis bacteria survived after an acceleration of $450,000 g .$ In light of your answer to part (a), can we rule out the hypothesis that life might have been blasted from Mars to Earth?

Answer

a) $\left(0.3189 \times 10^{6}\right) g$
b) $1.6 \times 10^{-3} \mathrm{s}$
c) No. We cannot rule out that life might have been blasted from Mars to Earth because the acceleration that we obtained is close to the given acceleration.

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Physics 101 Mechanics

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Video Transcript

for the sprint problem. They have initial velocity called Consider final velocity. Five gangsters with about three meters per second on distance colored is four meters. So from the first part we have to find accelerations over in Edo. Think off any question that involves these parameters along with acceleration. So the values this equation on this gifts X to the equal. Do the ex grand or Virg Dry self 696 knot may not exist. Zero. So it goes away. And if you solve this, you'll get acceleration to be contradictory. 0.1, I am standing by for six meter per second Scratch Damn self gravity date. This is 3.2 times 10 to the 55 30. Mad Jean No, 9.8% It's crashed. So this is exploration. Now for part B, you need to find the time. So we need to think off an equation that involves this perimeter, maybe acceleration as well along with time. So this equation is perfect. From here we get to be called to the ex over X on solving this gives time. Toby Caldo 1.6 I stand the divide minus three seconds now for the last part. The calculator acceleration is less dance. Let's light It, ISS calculated, is less than for 50,000 June. This means that acceleration required doesn't rule out this hypothesis.

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