# 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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