An ideal horizontal spring-mass system is set into motion. At an instant when the mass passes through its equilibrium position: The potentia

Question

An ideal horizontal spring-mass system is set into motion. At an instant when the mass passes through its equilibrium position: The potential energy in the spring is at its _____. The kinetic energy of the mass is at its ______. The magnitude of net force acting on the mass is at its ______.

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5 months 2021-08-27T12:27:33+00:00 1 Answers 1 views 0

the potential energy is zero, and the kinetic energy must be maximum

F = 0

Explanation:

In this exercise you are asked to complete the sentences of a simple harmonic movement of a mass-spring system.

In this system mechanical energy is conserved

at the most extreme point the carousel potential energy is

K_e = ½ k x²

the kinetic energy is zero for that stopped.

At the equilibrium point

the spring elongation is x = 0 so the potential energy is zero

and the kinetic energy must be maximum since total energy of the system is conserved

the spring force is

F =- k x

as in the equilibrium position x = 0 this implies that the force is also zero

F = 0