Consider an ideal spring with spring constant k = 20 N/m. The spring is attached to an object of mass m = 2.0 kg that lies on a horizontal frictionless surface. The spring-mass system is compressed a distance xo = 50 cm from equilibrium and then released with an initial speed vo= 0 m/s toward the equilibrium position. x=0 equilibrium initial state a. What is the period of oscillation for this system? b. Starting at t= 0, how long will it take for the object to first return to the equilibrium position?

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Consider an ideal spring with spring constant k = 20 N/m. The spring is attached to an
object of mass m = 2.0 kg that lies on a horizontal frictionless surface. The spring-mass
system is compressed a distance xo = 50 cm from equilibrium and then released with an
initial speed vo= 0 m/s toward the equilibrium position.
x=0
equilibrium
initial state
a. What is the period of oscillation for this system?
b. Starting at t = 0, how long will it take for the object to first return to the
equilibrium position?
Transcribed Image Text:Consider an ideal spring with spring constant k = 20 N/m. The spring is attached to an object of mass m = 2.0 kg that lies on a horizontal frictionless surface. The spring-mass system is compressed a distance xo = 50 cm from equilibrium and then released with an initial speed vo= 0 m/s toward the equilibrium position. x=0 equilibrium initial state a. What is the period of oscillation for this system? b. Starting at t = 0, how long will it take for the object to first return to the equilibrium position?
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