Calculating Average Force Due to Air Resistance in Projectile Motion

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Homework Help Overview

The discussion revolves around calculating the average force due to air resistance acting on a projectile launched vertically. The projectile's mass and initial velocity are provided, along with its maximum height, prompting participants to explore the energy dynamics involved in projectile motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between energy lost to air resistance and the work done by air. Questions arise regarding the calculations of maximum height without air resistance and the corresponding energy loss due to air resistance.

Discussion Status

Some participants have offered insights into the energy conservation principles involved, suggesting that the initial kinetic energy and final potential energy can be used to understand the energy lost. However, there is no explicit consensus on the approach to calculate the average force due to air resistance, and multiple interpretations of the problem are being explored.

Contextual Notes

Participants are working within the constraints of the problem, focusing on the given mass, height, and initial velocity, while also considering the implications of air resistance on energy calculations.

dbtarz
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A projectile has a mass of .750kg and is shot straight up with an initial velocity of 18.0m/s. If the projectile rises to a max height of 11.8m, determine the magnitude of the average force due to air resistance. Can anyone help me with this?
 
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The energy lost due to air resistance equals the work done by the air.
 
I don't understand?
 
Suppose there is no air resistance. Can you calculate how high the projectile would go?

Given that, can you calculate the energy that is lost due to air resistance?
 
Drawing pictures and listing knowns/unknowns is great help. You know the mass, the height/displacement, and the velocity. These give you the initial kinetic energy and the final potential energy, and the initial energy is always equal to the final energy plus the work done by friction/air resistance/etc (the wasted energy).

It is all pretty straight-forward. ^^
 

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