Distance Traveled by Hummingbird: Solving for Height

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A hummingbird with a mass of 1.7 g performs 0.15 J of work against gravity while ascending with a net acceleration of 1.2 m/s². To solve for the height it ascends, the work-energy theorem is applied, where the net work done equals the change in kinetic energy (Wnet = Δ(KE)). The conversion of mass from grams to kilograms is necessary for calculations, and the relationship between work, force, and distance must be understood. The discussion emphasizes that the 0.15 J represents the work done by the bird, not a force, and highlights the importance of considering the forces acting on the hummingbird during its ascent. Understanding these concepts is crucial for determining the distance traveled by the hummingbird.
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Homework Statement



A hummingbird has a mass of about 1.7 g. Suppose a hummingbird does 0.15 J of work against gravity, so that it ascends straight up with a net acceleration of 1.2 m/s2. How far up does it move?

Homework Equations





The Attempt at a Solution



I don't know what to do with the net acceleration, but i do know you have to convert 1.7 g to kg...
what would the formula do you use?!
 
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What does the work-energy theorem say?
 
Wnet = delta(KE)
 
Correct. Can you find numbers/expressions for the two sides of the equation?
 
(.0017kg)(1.2m/s^2)

or

(1/2)(.0017kg)(1.2m/s)^2

I'm not sure what to do with the Joules
 
duckywucky said:
Wnet = delta(KE)

What does Wnet mean to you and how do you think you calculate it?

How about Δ(KE)? What is that all about?
 
The Wnet means to me the total work done. and is it Fnet(d)?
KE = 1/2 mv^2 for Δ(KE)?
 
Correct again. How many different works must be added up to give the total work?
 
Last edited:
is it 1.7(1.2) / .15?!
 
  • #10
You didn't answer my question. How many different works must be added up to give the total work? In other words, how many forces are doing work here?
 
  • #11
Only 1 force?! the .15 J
 
  • #12
Force is expressed in Newtons. The 0.15 J is not a force, it is the work done by the bird as stated in the problem. Now think about this: if the bird did not flap its wings and did not exert that force, would it be suspended in mid-air or would something else happen to it?
 
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