A toy submarine of mass m = 0.730 kg moves around a submerged circular track of radius R = 1.77 m. The submarine's engine provides a constant propulsion force of F = 4.88 N. When the sub is in motion, it is subject to a viscous drag force exerted by the water. This force is proportional to the sub's speed; the proportionality factor is C = 1.26 kg/s. Assuming it starts from rest at t = 0.s, the speed v (t) of the submarine at a later time t is given by F v(1) = -(1 – e-Cilm) C where e is the base of the natural logarithm. How much time has passed when the submarine's speed t = reaches 62% of its terminal value? What is the magnitude of the submarine's acceleration a at m/s2 a = this time?
A toy submarine of mass m = 0.730 kg moves around a submerged circular track of radius R = 1.77 m. The submarine's engine provides a constant propulsion force of F = 4.88 N. When the sub is in motion, it is subject to a viscous drag force exerted by the water. This force is proportional to the sub's speed; the proportionality factor is C = 1.26 kg/s. Assuming it starts from rest at t = 0.s, the speed v (t) of the submarine at a later time t is given by F v(1) = -(1 – e-Cilm) C where e is the base of the natural logarithm. How much time has passed when the submarine's speed t = reaches 62% of its terminal value? What is the magnitude of the submarine's acceleration a at m/s2 a = this time?
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)...
Related questions
Topic Video
Question
![A toy submarine of mass m = 0.730 kg moves around a
submerged circular track of radius R = 1.77 m. The
submarine's engine provides a constant propulsion force of
F = 4.88 N. When the sub is in motion, it is subject to a
viscous drag force exerted by the water. This force is
proportional to the sub's speed; the proportionality factor is
C = 1.26 kg/s. Assuming it starts from rest at t = 0.s, the
speed v (t) of the submarine at a later timet is given by
v (1) = (1 – e-Ctim)
where e is the base of the natural logarithm.
How much time has passed when the submarine's speed
reaches 62% of its terminal value?
t =
What is the magnitude of the submarine's acceleration a at
m/s2
this time?
a =
16000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa86f9c1e-a64e-4a77-9fca-d6f519cb902a%2Fd46cff1e-f05a-439a-b510-a0f53e8094c5%2F8tkjeo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A toy submarine of mass m = 0.730 kg moves around a
submerged circular track of radius R = 1.77 m. The
submarine's engine provides a constant propulsion force of
F = 4.88 N. When the sub is in motion, it is subject to a
viscous drag force exerted by the water. This force is
proportional to the sub's speed; the proportionality factor is
C = 1.26 kg/s. Assuming it starts from rest at t = 0.s, the
speed v (t) of the submarine at a later timet is given by
v (1) = (1 – e-Ctim)
where e is the base of the natural logarithm.
How much time has passed when the submarine's speed
reaches 62% of its terminal value?
t =
What is the magnitude of the submarine's acceleration a at
m/s2
this time?
a =
16000
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON