Kinetic Energy & Megaton Calculation HELP

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The discussion revolves around calculating the kinetic energy of a comet impacting Earth and converting that energy into megatons of TNT. The kinetic energy formula used is KE = 1/2MV^2, leading to a calculated energy of approximately 2.4276 x 10^21 joules for the comet. This value is then converted to megatons of TNT by dividing by 4.2 x 10^15 joules per megaton, indicating a significant potential for devastation. The impact of such a comet, if it struck a populated area, could result in catastrophic consequences due to the immense energy release. The calculations highlight the serious implications of celestial impacts on Earth.
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Homework Statement



A) A relatively small impact crater 20 kilometers in diameter could be made by a comet 2 kilometers in diameter traveling at 34.0 (3.40×104 ).

Assume that the comet has a total mass of kilograms. What is its total kinetic energy?

(B) Convert your answer from part A to an equivalent in megatons of TNT, the unit used for nuclear bombs. Comment on the degree of devastation the impact of such a comet could cause if it struck a populated region on Earth. (Hint: One megaton of TNT releases joules of energy.)


Homework Equations


Kinetic energy = 1/2MV^2


The Attempt at a Solution



my attempt:
=1/2*[4.2*10^12]*[3.4*10^4]^2
=2.4276*10^21 joules

For B
i divided my answer from A by 4.2*10^15 since One megaton of TNT releases 4.2*10^15joules of energy
 
Last edited:
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The formating seems to have removed some numbers - so we can't check it.
But your method is correct
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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