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About 50,000 years ago, in an area located outside Flagstaff, Arizona, a giant 4.5 107-kg meteor fell and struck Earth, leaving a 180-m-deep hole now known as Barringer crater. If the meteor was traveling at 20,000 m/s upon impact, with what average force did the meteor hit the earth?

Sagot :

Answer:

[tex]F_A =5.625*10^1^6N[/tex]

Explanation:

From the question we are told that

50,000 years ago,

A giant 4.5 107-kg meteor

180-m-deep hole

20,000 m/s

Generally for this problem the energy change is given as

       [tex]\triangle E=\frac{1}{2} mv^2 +mgd[/tex]

Having the potential and kinetic energy in place

Mathematically  solving for Average force[tex]F_A[/tex]

       [tex]\triangle E=F_a*d[/tex]

[tex]F_A =\frac{1/2* 4.5*10^7(20,000)^2-kg+4.5*10^7*9.81*160}{160}[/tex]

Therefore Average force [tex]F_A[/tex] is given by

[tex]F_A =5.625*10^1^6N[/tex]