Consider the falling object of mass m = 8 kg, and assume that the drag force is proportional to the square of velocity. Let the limiting velocity be vim = 79 m/ sec. If v(0) = 0, find the speed of the object at any time. %3D

Consider the falling object of mass m = 8 kg, and assume that the drag force is proportional to the square of velocity. Let the limiting velocity be vim = 79 m/ sec. If v(0) = 0, find the speed of the object at any time. %3D

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 79PQ

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

Consider the falling object of mass m = 8 kg, and assume that the drag force is proportional to the square of velocity.
Let the limiting velocity be vim
79 m/ sec.
If v(0) = 0, find the speed of the object at any time.
1-e
8.
v(t) = 8 x
D.OIX9.8
1+e
0.01x9.8
v(t) = 79 x
%3D
0.01x9.8
1+e?V
0.01x9.8
eV
v(t) = 8 x
0.01x9.8
1+e?V
1-eV
0.01x9.8
8.
v(t) = 79 x
0.01x9.8
I+e?v
8.
0.01×9.8)
1+eV
8.
v(t) = 79 ×
0.01x9.8
1-e?V
8.

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