An object of mass 10 kg is released from rest 2000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistanceis proportional to the velocity of the object with proportionality constant b = 40 N-sec/m, determine the equation of motion of the object. When will the object strikethe ground? Assume that the acceleration due to gravity is 9.81 m / sec and let x(t) represent the distance the object has fallen int seconds......Determine the equation of motion of the object.x(t) =When will the object hit the ground?The object will hit the ground after seconds.(Round to two decimal places as needed.)

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Answered: Determine the equation of motion of the…

Determine the equation of motion of the object. x(t) = When will the object hit the ground? The object will hit the ground after seconds. (Round to two decimal places as needed.)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 40P: A service elevator takes a load of garbage, mass 10.0 kg, from a floor of a skyscraper under...

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Question

An object of mass 10 kg is released from rest 2000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance
is proportional to the velocity of the object with proportionality constant b = 40 N-sec/m, determine the equation of motion of the object. When will the object strike
the ground? Assume that the acceleration due to gravity is 9.81 m / sec and let x(t) represent the distance the object has fallen int seconds.
.....
Determine the equation of motion of the object.
x(t) =
When will the object hit the ground?
The object will hit the ground after seconds.
(Round to two decimal places as needed.)

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