Bassball starting from rest atop 100m building

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SUMMARY

The discussion focuses on calculating the motion of an object dropped from a 100-meter building, factoring in air resistance proportional to the square of its speed. The object has a radius of 0.0366 meters and a mass of 0.145 kilograms, with a drag coefficient (cw) of 0.5. The equation used to find velocity is v = ((e^(-2kx) - g) / k)^(0.5), where k is defined as 0.5 * cw * A. The need for clarification on the differential equation and the specific calculations required is emphasized.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with differential equations
  • Knowledge of drag force and its calculation
  • Basic principles of kinematics
NEXT STEPS
  • Study the derivation of the differential equation for motion under gravity with drag
  • Learn about the application of the drag force formula F = -mg - W
  • Explore numerical methods for solving differential equations
  • Investigate the effects of varying drag coefficients on object motion
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Physics students, engineers, and anyone interested in understanding the dynamics of falling objects with air resistance.

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Homework Statement


perform a calculation for an object moving vertically in air under gravity and experiencing a retarding force proportional to the square of the objects speed. see (W=.5(cwpAv2)

Object is dropped off a 100 meter building from rest.
radius of object = .0366m
mass = .145 kg
cw=.5


Homework Equations


F= -mg-W


The Attempt at a Solution



trying to find the velocity I get v=((e^(-2kx)-g)/k)^.5 where k= .5cwpA

but when I graph it for high values of k I get no graph
 
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Presumably, you have solved a differential equation. what is that equation and how did you get the solution. What does the statement "perform a calculation for an object ..." mean? What are we calculating? You need to be clearer so we can help you.
 

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