Suppose just for kicks you\'re jam packed as tightly as possible into a barrel.

Question

Suppose just for kicks you're jam packed as tightly as possible into a barrel. Whose mass (including yours) is 180 kg. and which is perched precariously on top of a roller coaster track. (Assume that the moment of inertia for the barrel is bottom of the roller coaster track, it loops up into a vertical loop-de-loop of radius 40 m. and unfortunately at the top of the loop-de-loop the bad guys from your favorite B-grade action Hick have packed a buttload of C_4 with a detonator that is with a force of 250 N or more. What normal force do you end up exerting on the trigger? Do you die?

Explanation / Answer

180*9.8*120 = 180*0.75*v^2
v = 39.5979 m/s

At 80 m hieght
180*9.8*120 = 180*9.8*80 + 0.75*180*v^2
v = 22.861 m/s

Normal force = N
N + 180*9.8 = 180*v^2/40
N = 588 N
We might die

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