A mass of 1.25 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous resistance of 45 m N when the mass has a velocity of 6 The viscous resistance is proportional to the speed of the object. S Suppose the object is displaced an additional 0.05 m and released. m Find an function to express the object's displacement from the spring's natural position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to gravity. 8² u(t) = 5.10-5(e-3t) sin(349.98t+ A m x syntax error. Check your variables - you might be using an incorrect one.

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...
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A mass of 1.25 kg stretches a spring 0.08 mm. The mass is in a medium that exerts a viscous resistance of 45 NN when the mass has a velocity of 6 msms. The viscous resistance is proportional to the speed of the object.

Suppose the object is displaced an additional 0.05 mm and released.

Find an function to express the object's displacement from the spring's natural position, in mm after tt seconds. Let positive displacements indicate a stretched spring, and use 9.8 ms2ms2 as the acceleration due to gravity.

u(t) = 5·10−5(e−3t)sin(349.98t+π2​)mIncorrect  syntax error. Check your variables - you might be using an incorrect one.
Submit QuestionQuestion 1
A mass of 1.25 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous resistance of 45
m
N when the mass has a velocity of 6 The viscous resistance is proportional to the speed of the object.
S
Suppose the object is displaced an additional 0.05 m and released.
m
Find an function to express the object's displacement from the spring's natural position, in m after t
seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to
gravity.
8²
u(t) = 5.10-5(e-3t) sin(349.98t+
A
m x syntax error. Check your variables - you might be using
an incorrect one.
Transcribed Image Text:A mass of 1.25 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous resistance of 45 m N when the mass has a velocity of 6 The viscous resistance is proportional to the speed of the object. S Suppose the object is displaced an additional 0.05 m and released. m Find an function to express the object's displacement from the spring's natural position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to gravity. 8² u(t) = 5.10-5(e-3t) sin(349.98t+ A m x syntax error. Check your variables - you might be using an incorrect one.
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