what is the answer for these 3 questions ? Q Search A small block of mass m-1.6

Question

what is the answer for these 3 questions ?

Q Search A small block of mass m-1.6 kg slides, without friction, along the loop-the-loop track shown. the block starts from the point P at rest a distance h 57.0 m above the bottom of the loop of radius R = 20.0 m, what is the kinetic energy of the mass at the point A on the loop? 8Ipt] 9.[1pt] What is the magnitude of the acceleration of the mass at the point A of the loop? 10.[1pt] What is the minimum height h for which the block will reach point A on the loop without leaving the track? Answer:

Explanation / Answer

a) K.E = change in potential energy

K.E = mg(h-2R)

m= 1.7 kg

h = 57m

R=20m

that gives

K.E = 283.2 J

b) magnitude of acceleration a = v2/R -g = 6.86m/s2

c) for the body to complete circular track

v2 > 5Rg

so the minumum is

V2 = 5Rg

V2=2gh

2gh =5Rg

h =5R/2 = 50m

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