“...sturdy enough to prevent a powerful man from kicking the door open.”
Mentions only one man, not multiple men. I’m sure 50 guys form ing a battering ram running at 10 mph is going to take down the door.
50 x 175 lbs. is 8,750 lbs. Multiply that number by the kinetic force and that door will come down very easily.
They don’t design those doors to be impenetrable.
Really, what the heck are you going to form a battering ram with for 50 people, the utility pole in your carry on? 5 people running at the door together are going to have the same effect on that small door as one. The energy will be dispersed through the flesh and not imparted to the door. Then you will have injured people in front the you need to deal with.
Don’t you think they tried every thing within their power, they were going to die.
Are considering the impulse of Force? Those 50 people will not impart nearly the energy of a solid battering ram.
The people will have to be spaced a little as they run down the isle. They will not, at the same time, transfer their kinetic energy to the door.