How Does Air Resistance Affect a Flea's Jump Height?

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SUMMARY

The discussion focuses on the impact of air resistance on a flea's jump height, specifically comparing theoretical and actual heights. A 0.50 mg flea can theoretically reach 36 cm without air resistance, but in reality, it only reaches 18 cm due to air resistance. The kinetic energy of the flea as it leaves the ground is calculated using the equation K=1/2 mv^2, and the potential energy at the peak height is derived from gravitational potential energy principles. The key takeaway is that the initial kinetic energy should be calculated using the theoretical height of 36 cm for accurate results.

PREREQUISITES
  • Understanding of kinetic and potential energy concepts
  • Familiarity with the equation K=1/2 mv^2
  • Basic knowledge of gravitational potential energy (mgh)
  • Concept of air resistance and its effects on motion
NEXT STEPS
  • Calculate the kinetic energy of the flea using the height of 36 cm
  • Determine the potential energy at the maximum height of 18 cm
  • Explore the effects of varying air resistance on different jumping organisms
  • Investigate the relationship between mass and jump height in small insects
USEFUL FOR

Students studying physics, particularly those interested in mechanics and energy conservation, as well as anyone exploring the biomechanics of small organisms like fleas.

Jaklynn429
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Homework Statement


Fleas have remarkable jumping ability. If a 0.50 mg flea jumps straight up, it will reach a height of 36 cm if there is no air resistance. In reality, air resistance limits the height to 18 cm.


Homework Equations


K=1/2 m*v^2



The Attempt at a Solution


I tried to use kinematics to get a delta T, and the program is still saying I am wrong! The final is tomorrow and this is a practice problem, can someone please explain how to do this! thanks!
 
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What is the problem?? Is it asking for how much energy is used up by air resistance?
 
I'm sorry! The problem wants to know:
a) what the flea's kinetic energy is as it leaves the ground?
b) at its highest point, what fraction is converted to potential energy?
 
I'm assuming "a) what the flea's kinetic energy is as it leaves the ground?" is for
"Fleas have remarkable jumping ability. If a 0.50 mg flea jumps straight up, it will reach a height of 36 cm if there is no air resistance."

and "b) at its highest point, what fraction is converted to potential energy?" is for "In reality, air resistance limits the height to 18 cm."

For a) energy is conserved. soo we pick the lowest point that has a gratational potential of zero. so we can use this

\frac{1}{2}mv^2=mgh
 
Here is my problem though...the statement doesn't separate those two things. The problem reads exactly this: "Fleas have remarkable jumping ability. If a 0.50 mg flea jumps straight up, it will each a height of 36 cm if there is no air resistance. In reality, air resistance limits the height to 18 cm."
a) what is the flea's kinetic energy as it leaves the ground?

That's my issue, I don't know whether to use the 36 or the 18.
 
Jaklynn429 said:
Here is my problem though...the statement doesn't separate those two things. The problem reads exactly this: "Fleas have remarkable jumping ability. If a 0.50 mg flea jumps straight up, it will each a height of 36 cm if there is no air resistance. In reality, air resistance limits the height to 18 cm."
a) what is the flea's kinetic energy as it leaves the ground?

That's my issue, I don't know whether to use the 36 or the 18.

You use 36. That's what the problem is telling you when it says if ...
 
Is there even a part b)? it would be pointless if you use point 36 for part b) because it would be 100%, of course.
 

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