A body falling in a relatively dense fluid, oil for example, is acted on by three forces: the weight W due to gravity (acting downwards), a resistence force R and a bouyant force B (both actin upwards). The wieght W of the object of mass m is mg. The bouyant force B is equal to the weight of the fluid displaced by the object. If the mass of the fluid is mf,this force is B=mf*g. For a slowly moving spherical body of radius, r, the resistive force is given by stokes law;R=6*pi*mu*r*v, where v is the velocity of the body and mu is the coefficient of viscosity of the surrounding fluid.

a) what is the differential equation for the velocity that the object has at any given time t

b) if the product 6*pi*mu is equal to 3.2, the mass of the spherical object of radius 0.05 meters is 0.5kg adn the mass of the fluid is 0.1kg, solve the differential equation from part a

c) find teh velocity 5 seconds after the object is dropped with the initial velocity of 0;3 meters per second

... http://www.math.toronto.edu/mathnet/answers/relevance ... The behavior of the differential equations depends upon whether ... The roots of such equations are of interest ...

... the simplification of the differential equations, probability methods ... of estimating the algebraic equations by applying ... the development of mathematics in 1033 ...

... try: http://www.efunda.com/math/ode/linearode_consthomo ... Three differential equations problems are solved in complete step-by ... is given in both Word .doc format ...

...problems can greatly improve your math skills. ...Differential Calculus a branch of calculus that deals with ... the study of summation of differentials under the ...

... The first is in MS Word format, while the ... http://www.efunda.com/math/ode/syslinearode1. cfm. ... how to: 1. Convert the problem's text to differential equations. ...

... few consis- tently found addition equations helpful in ... the complement principle included Math Detective, Racing ... This small differential may or may not indicate ...

... the final answer in a 3-page Word document ... CB dt Equipped with the two differential equations, now you ... to the following reference: http://tutorial.math.lamar.edu ...

... EXPLAIN SOLUTION PROCESS IN WORDS. Typeset your answer using math symbol editor ... x )W = 0 This is a first order separable homogenous differential equation and we ...

... Measurement 2. Essential Mathematics plays an active ...Differentials Operator Equation Differential of waveform ... Similarly, the differential momentum operator ...