A block of mass m = 600 g is attached to a horizontal spring with a spring constant of k = 3.6 N m¹. When it is in motion, the system is damped by a force Fdamp = -4.2x (SI units). At time t = 0, the block is pulled out to a position x(0) = -20 cm relative to its equilibrium, and set in motion with a velocity (0) = -1.3 m s¯¹. Find the displacement and the velocity of the block as functions of time thereafter.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 15P: A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure...
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A block of mass m = 600 g is attached to a horizontal spring with a spring
constant of k = 3.6 N m¹. When it is in motion, the system is damped by a force
Fdamp = -4.2x (SI units).
At time t = 0, the block is pulled out to a position x(0) = -20 cm relative to its
equilibrium, and set in motion with a velocity (0) = -1.3 m s¯¹. Find the displacement
and the velocity of the block as functions of time thereafter.
Transcribed Image Text:A block of mass m = 600 g is attached to a horizontal spring with a spring constant of k = 3.6 N m¹. When it is in motion, the system is damped by a force Fdamp = -4.2x (SI units). At time t = 0, the block is pulled out to a position x(0) = -20 cm relative to its equilibrium, and set in motion with a velocity (0) = -1.3 m s¯¹. Find the displacement and the velocity of the block as functions of time thereafter.
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