It has boon suggested, and not facetiously, that might have originated on Mars a

Question

It has boon suggested, and not facetiously, that might have originated on Mars and boon earned to the earth when a meteor hit Mars and blasted pieces of rock (perhaps containing primitive life) free of the Morton surface. Astronomers know that many Martian rocks have come to the earth this way. (For instance. search the internet "ALH 84001, *) One objection to this idea is that microbes would have had to undergo an enormous lethal acceleration during the impact Let us Investigate how largo such an acceleration might be To escape Mars, rock fragments would have to reach its escape velocity of 5 0 km/a. and that would most likely happen over a distance of about 3 8 m during the meteor impact. You may want to review For rotated problem solving tips and strategies. you may want to view a Video Tutor Solution of What would be the acceleration (in m/s) of such a rock fragment, If the acceleration is constant?

Explanation / Answer

Here ,

initial speed , u = 5 km/s = 5000 m/s

final speed , v = 0 m/s

distance , d = 3.8 m

part a) let the acceleration is a

using third equation of motion

v^2 - u^2 = 2 * a * d

0 - 5000^2 = 2 * 3.8 * a

a = -3.289 *10^6 m/s^2

the acceleration of the rock is -3.289 *10^6 m/s^2

b) in the unit of ge's

acceleration = 3.289 *10^6/(9.8) ge's

acceleration = 3.356 *10^5 ge's

part C)

time taken for acceleration = u/a

time taken for acceleration = 5000/(3.289 *10^6)

time taken for acceleration = 1.52 *10^-3 s

the time taken for acceleration is 1.52 *10^-3 s

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