Countless superhero movies show us
heroes with unparalleled, superhuman strength.
One example of this is in the movie Hancock. Hancock is a superhero who can fly and has
incredible super strength.
One scene in
the movie shows Hancock stopping a speeding train by just standing in its
way. From this example, we can calculate
the amount of force it took for Hancock to stop the train. For the sake of calculating an actual force,
we will assume that the train had a mass of 489880 kg (average passenger
train), and that the train was moving at a speed of 40 m/s (top speed for
inter-city passenger trains) in order to calculate the train’s momentum.
p
= mv
p
= (489880 kg) (40 m/s)
p
= 19595200 kgm/s
As
you can see a speeding train has an extremely large amount of momentum. Now in order to calculate the force Hancock
applied on the train, we must related the change of momentum to time. In the movie, Hancock stops the train pretty
much instantly, so for the case of calculations, we will assume that he stopped
the train in 0.5 s. As for the change of
momentum, the final momentum of the train and Hancock will be 0 because both he
and the train are completely stopped.
Hancock’s initial momentum is also 0 because he is standing still when
the train hits him.
F
= pf - pi / t
F
= (0 -19595200 kgm/s) / 0.5 s
F
= 39200000 N
That
is a lot of force needed to stop that train.
To keep this in perspective, the Saturn V rocket used 35000000 N of
force in order to lift off. Here is the
scene that is described:
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