Question

Problem 2- A 350 kg roller coaster starts from rest at point A and slides down the frictionless loop-the-loop shown in the figure.
a) How fast is the roller coaster moving at point B?
b) How hard does it press against the track at point B?
Use energy principles on A.
b. force=mg+mv^2/r
A=mgh
= 350 x 9.8 x 25
= 85750 J
B=MGH
= 350 x 9.8 x 12
= 41160 J

1/2mv^2= A-B
v=√(2(A-B)/m)
=16 m/s

F= (mv^2)/r - mg
= 14933.3333 - 3430
= 11503.333 N or simply 1.15 x 10^4 N

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