The Arizona crater was created by an asteroid with an mass of 1.4x10^8kg ROBLEM

Question

The Arizona crater was created by an asteroid with an mass of 1.4x10^8kg ROBLEM 4 HINT start by reviewing 6.2 Kinetic Energy and the Work-Energy Theorem crater was created by an asteroid with an estimated mass of 1.4 X 10 8kg which hit the earth at a speed of 12km/s. One ton of TNT releases 4.184 X 10 9J How does the energy of impact compare to a 1.0 megaton atomic bomb? (1): 24 times as powerful (2): 2.4 times as powerful. (3): None of the above PROBLEM 5 HINT-start by reviewing 6.2 Kinetic Energy and the Work-Energy Theorem A 3.00N rock is thrown vertically into the air from the ground. At h-15.0m, v-25m/s upward. Use the work-energy theorem to find the initial speed of the rock (2): 30.3m/s (3): None of the above

Explanation / Answer

4. Ki = m vi^2 /2

= (1.4 x 10^8 kg)(12 x 10^3 m/s)^2 / 2

= 1 x 10^16 J

energy produced by collision = 1 x 10^16 J

energy by 1 megaton bomb = 4.184 x 10^15 J

ratio = 10/4.184 = 2.4

Ans(2) 2.4 times as powerful

5. Applying energy conservation,

PEi + KEi = PEf + KEf

0 + m v0^2 /2 = m g h + m v^2 /2

v0^2 = (2 x 9.8 x 15) + (25^2)

v0 = 30.3 m/s

Ans(2)

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