#1 A brick of mass 6 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 7 cm. The spring is thenstretched an additional 4 cm and released. Assume there is no air resistance. Note that the acceleration due to gravity, g, is g = 980cm/s².Set up a differential equation with initial conditions describing the motion and solve it for the displacement s(t) of the mass from itsequilibrium position (with the spring stretched 7 cm).s(t) =cm(Note that your answer should measure t in seconds and s in centimeters.)

We have to set up a differential equation with initial condition of s(t).

Ek of mass 6 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 7 cm. The spring hed an additional 4 cm and released. Assume there is no air resistance. Note that the acceleration due to gravity, g 2

Ek of mass 6 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 7 cm. The spring hed an additional 4 cm and released. Assume there is no air resistance. Note that the acceleration due to gravity, g 2

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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Question

A brick of mass 6 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 7 cm. The spring is then
stretched an additional 4 cm and released. Assume there is no air resistance. Note that the acceleration due to gravity, g, is g = 980
cm/s².
Set up a differential equation with initial conditions describing the motion and solve it for the displacement s(t) of the mass from its
equilibrium position (with the spring stretched 7 cm).
s(t) =
cm
(Note that your answer should measure t in seconds and s in centimeters.)

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