Homework Help is Here – Start Your Trial Now!
Science
Physics
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
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)...
See similar textbooks
icon
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
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
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
First law of motion
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS