A mass weighting 56 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous resistance of 65 lbs when the mass has a velocity of 2 ft/sec. Suppose the object is displaced an additional 8 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) = %3D

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
icon
Related questions
Question
A mass weighting 56 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous
resistance of 65 lbs when the mass has a velocity of 2 ft/sec.
Suppose the object is displaced an additional 8 inches and released.
Find an equation for the object's displacement, u(t), in feet after t seconds.
u(t) =
Transcribed Image Text:A mass weighting 56 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous resistance of 65 lbs when the mass has a velocity of 2 ft/sec. Suppose the object is displaced an additional 8 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =
A mass of 1.25 kg stretches a spring 0.07 m. The mass is in a medium that exerts a viscous resistance of 75
N when the mass has a velocity of 6
m
The viscous resistance is proportional to the speed of the object.
S
Suppose the object is displaced an additional 0.03 m and released.
Find an function to express the object's displacement from the spring's equilibrium position, in m after t
seconds. Let positive displacements indicate a stretched spring, and use 9.8
т
as the acceleration due to
gravity.
u(t) =
Transcribed Image Text:A mass of 1.25 kg stretches a spring 0.07 m. The mass is in a medium that exerts a viscous resistance of 75 N when the mass has a velocity of 6 m The viscous resistance is proportional to the speed of the object. S Suppose the object is displaced an additional 0.03 m and released. Find an function to express the object's displacement from the spring's equilibrium position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 т as the acceleration due to gravity. u(t) =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning