An object of mass 200 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling the object down, a buoyancy force of 50 times the weight of the object is pushing the object up (weight = mg). If we assume that water resistance exerts a force on the object that is proportional to the velocity of the object, with proportionality constant 20 N-sec/m, find the equation of motion of the object. After how many seconds will the velocity of the object be 70 m/sec? Assume that the acceleration due to gravity is 9.81 m/sec².

An object of mass 200 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling the object down, a buoyancy force of 50 times the weight of the object is pushing the object up (weight = mg). If we assume that water resistance exerts a force on the object that is proportional to the velocity of the object, with proportionality constant 20 N-sec/m, find the equation of motion of the object. After how many seconds will the velocity of the object be 70 m/sec? Assume that the acceleration due to gravity is 9.81 m/sec².

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Description: An object of mass 200 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling the object down, a buoyancy force of 50times the weight of the object is pushing the object up (weight = mg). If we assume that w

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 4OQ

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