Answered: Using Newton's second law, the movement…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Concept explainers

Question

Using Newton's second law, the movement of a body in a viscous fluid can be modeled. For this case it will be a one-dimensional movement.

ec.1) F -F_R = ma

F: Force applied to the body.
F_R: Resistance that opposes the fluid to the movement.
m: body mass
a: body acceleration

For a sphere with initial radius R0 = 1 meter and density 8960 kg/m^3 to which a constant force of 3 Kilo Newtons is applied, it is requested:

Using Euler's method, find the velocity as a function of time for the first 5 seconds of movement, considering that v(0) = 10 m/s. Use a 1 second step.

For this case use:

ec.2) F_R = 210Rv

R: Radius of the sphere.
v: velocity

Where, in addition, the sphere disintegrates as time passes in this fluid, so its radius is given by the following function:

ec.3) R = R0*e^(-t/250)

Expert Solution

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions