For a frictionless a. the maximum potential energy of the mass on a spring system occurs when the mass

For a frictionless
a. the maximum potential energy of the mass on a spring system occurs when the mass is positioned furthest from its equilibrium position.
b. the maximum kinetic energy of the system occurs when the mass is passing through the equilibrium position.

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  1. Both A and B is true

    Explanation:

    Given system is friction less

    Consider a system of spring mass-system with general displacement equation

    [tex]x=A\sin \omega t[/tex]

    where A=maximum amplitude

    [tex]\omega[/tex]=frequency of oscillation

    [tex]t=time[/tex]

    [tex]v=A\omega cos\omega t[/tex]

    Total Energy of the system is E=Potential Energy(U)+kinetic Energy(K)

    At max amplitude

    i.e. [tex]A=A\sin\omega t[/tex]

    [tex]\omega t=\frac{\pi }{4}[/tex]

    [tex]t=\frac{\pi }{4\omega }[/tex]       [tex](T\cdot \omega =2\pi )[/tex]

    where T = time period for one complete oscillation

    [tex]t=\frac{T}{4}[/tex]

    at [tex]t=\frac{T}{4}[/tex]

    [tex]v=0[/tex]

    thus [tex]k=0[/tex] and [tex]U=E[/tex]

    i.e. Maximum at maximum amplitude

    B.at mean position [tex]x=0[/tex]

    [tex]\omega t=\pi[/tex]

    [tex]t=\frac{T}{2}[/tex]

    [tex]v=v_{max}[/tex] i.e. total Energy is equal to Kinetic energy and Potential Energy is zero

    hence B is true.

  2. Answer:

    the word that best describes martin luther king jr.'s tone in the video is dignified

    explanation:

    martin luther king, jr. was a social activist and baptist minister who played a key role in the american civil rights movement from the mid-1950s until his assassination in 1968. the video shows his manner and attitude having or showing a composed or serious manner that is worthy of respect so dignified is the correct answer

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