An object of mass 125 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling 1 40 the object down, a buoyancy force of - 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 10 N-sec/m, find the equation of motion of the object. After how many seconds will the velocity of the object be 40 m/sec? Assume that the acceleration due to gravity is 9.81 m/sec². First write Newton's law m- =F(t,v) in terms of the given data. dv dt

An object of mass 125 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling 1 40 the object down, a buoyancy force of - 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 10 N-sec/m, find the equation of motion of the object. After how many seconds will the velocity of the object be 40 m/sec? Assume that the acceleration due to gravity is 9.81 m/sec². First write Newton's law m- =F(t,v) in terms of the given data. dv dt

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

An object of mass 125 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling
1
the object down, a buoyancy force of times the weight of the object is pushing the object up (weight = mg). If we
40
assume that water resistance exerts a force on the object that is proportional to the velocity of the object, with
proportionality constant 10 N-sec/m, find the equation of motion of the object. After how many seconds will the
velocity of the object be 40 m/sec? Assume that the acceleration due to gravity is 9.81 m/sec².
dv
First write Newton's law m =
m
dv
= F(t,v) in terms of the given data.
dt

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