Equal Kinetic Energy for Different Masses?

AI Thread Summary
A golf ball and a football can possess the same kinetic energy despite differing masses due to the relationship defined by the kinetic energy formula, Ek = 1/2mv². This equation shows that kinetic energy is dependent on both mass and the square of velocity. Therefore, if the lighter golf ball moves at a higher speed than the heavier football, they can achieve equal kinetic energy. The discussion emphasizes understanding how variations in speed can compensate for differences in mass. This concept is fundamental in physics and illustrates the principles of energy dynamics.
kylepetten
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Homework Statement



Explain how a golf ball and a football can have the same kinetic energy even if their masses are different.



Homework Equations



None.


The Attempt at a Solution



A golf ball and a football can have the same kinetic energy even if their masses are different because kinetic energy is a quadratic function of speed.

This is a new topic and I missed a class or two on it so it may be a super easy question but I just wanted to see what you guys and gals think! Thanks!
 
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kylepetten said:

The Attempt at a Solution



A golf ball and a football can have the same kinetic energy even if their masses are different because kinetic energy is a quadratic function of speed.


Well in essence yes, since Ek=1/2mv2, they can have the same Ek if they move with different speeds.
 
rock.freak667 said:
Well in essence yes, since Ek=1/2mv2, they can have the same Ek if they move with different speeds.

Thanks for the help!
 

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