Respuesta :
Answer:
3.03 Billion Days or 8.30 Million years
Explanation:
Given,
No. of micrometeorite impacts per day on the Lunar surface = 25000000
Impacts needed to erase a footprint = 20
Area of footprint = 300 cm²
We know that surface area of the Moon = 37.93 Million Km² = [tex]37.93\times 10^{16} cm^{2}[/tex]
To find: How long will it take to erase one footprint?
Using the above information,
No. of impacts per cm² per day is
[tex]= \frac{25000000}{37.93\times 10^{16}}[/tex]
No. of impacts on area of a foot print (300 cm²) per day will be,
[tex]= \frac{25000000}{37.93\times 10^{16}}\times 300[/tex]
[tex]= 6.59\times 10^{-9}[/tex]
To erase the footprint there must be 20 impacts on the area of footprint.
Time taken for [tex] 6.59\times 10^{-9}[/tex] impacts = 1 Day
Time taken for 1 impact is
[tex]= \frac{1}{6.59\times 10^{-9}} days[/tex]
Hence, time taken for 20 impacts will be
[tex]= \frac{1\times20}{6.59\times 10^{-9}} days[/tex]
[tex]= 3.03 \times 10^{9} days[/tex]
[tex]= \frac{3.03 \times 10^{9}}{365}years[/tex]
[tex]= 8.30 \times 10^{6} years[/tex]
It would take around 3.03 Billion Days or 8.30 Million years for one of the footprints left by the Apollo astronauts to be erased.
It would take 8.30 Million years to erase for an astronaut footprint.
To answer this, we will need to pass the surface area of the Moon value to scientific notation. Thus, we will have a value equal to [tex]37.93*10^1^6cm^2[/tex]
After that, we can arrive at a result as follows:
- We need to calculate the number that a footprint area receives per day. For this, we will use the following calculation:
[tex](\frac{25000000}{37.93*10^1^6})* 300= 6.59*10^-^9[/tex]
This value corresponds to the number of impacts that the footprint area receives in one day, however, we must not forget that it takes about 20 of these impacts to destroy a footprint.
- In this case, to find the number of days needed to erase the footprint in this area, we will do the following calculation:
[tex]\frac{1*20}{6.59*10^-^9} = 3.030*10^9[/tex]
- In this case, we can say that it will take 3.03 billion days to erase this footprint. To know this value in years, we only need to divide it by 365 and we will arrive at the result that it will take 8.30 Million years for the footprints to be erased.
More information:
https://brainly.com/question/3494876?referrer=searchResults
