How do you do projectile calculations, but with drag force?

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Projectile calculations involving drag force require an understanding of the drag equation, which quantifies the resistance an object encounters while moving through a fluid. To find the drag force, one must consider factors such as the object's velocity, cross-sectional area, and the fluid's density. The drag force significantly impacts the trajectory and range of the projectile, necessitating adjustments in calculations compared to ideal projectile motion without drag. Accurate modeling of projectile motion with drag involves solving differential equations that account for both gravitational and drag forces. Understanding these principles is essential for precise projectile motion analysis in various applications.
mrspock
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And how do you find the drag force?
 
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For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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