Physics

A small block of mass m = 1.3 kg slides, without friction, along the loop-the-loop track shown. The block starts from the point P a distance h = 54.0 m above the bottom of the loop of radius R = 19.0 m. What is the kinetic energy of the mass at the point A on the loop?
What is the downward acceleration of the mass at the point A of the loop?
What is the minimum height h for which the block will reach point A on the loop without leaving the track?

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  1. 1.
    PE(B)=KE+PE(A)
    mgh= KE+mg2R
    KE= mgh- mg2R=
    =mg(h-2R)

    2.
    mgh= mv²/2+mg2R
    v²= 2g(h-2R)
    a= v²/R= 2g(h-2R)/R
    3.
    mgh= mv²/2+mg2R
    h= v²/2g +2R

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