Home » Honey and Darling » Ahhh….yup.

Ahhh….yup.

Abbey Jump?!?  Sorry, Mark, but you are already 50 feet or more down the cliff face… Perhaps you should have declared, “Abbey, we JUMPED!

content12092016

So much for suspense…  we saw this coming days (weeks?) ago.  Looks like the are sticking the landing, though, assuming that there is adequate depth of water to take the fall.

But let’s consider this answer from one who appears to have studied and paid attention in physics class…  reminding us that water is hard, and it’s not the fall that will kill you, it’s the rapid deceleration upon impact…  exerting multiple tons of pressure on the body…

Well, let’s look at the force of impact (granted it is in water, and calculating the true impact is quite complex)… nevertheless.

Let’s take the Golden gate bridge for instance:

67 meter fall/jump.
Weight of jumper: 70 kg

Let’s ignore air resistance:

We’re left with:
Acceleration = -9.8 m/s^2

Vf^2 = V0^2 + 2*a*h
          = 0 + 2 * (-9.8) * 67

Vf = 36.24 m/s or 130.46 km/hr or 81 mph or 119.592 feet/s

F = ma = 686N

Since we’re jumping into water, let’s calculate the deceleration upon impact into water.

Impulse = -(70kg * 36.24m/s) = 2536.8 N . s

Ignoring terminal velocity and such (since it is 81 mph), so now it is just a matter of how you fall into the water to account for the amount of deceleration from the impact depth your body suffers.

We can assume that the density of a body is almost equal to water (considering we’re made up of roughly 3/4 of the stuff, and we float).

Impact depth = Length * (Density of body A / Density of the medium B)

So the impact depth is roughly the length of your body (plus a bit more).

For example: You were unlucky enough to fall perfectly horizontal.
This means the entire force of impact would cause your body to decelerate to half the velocity in about a foot of distance.

So at around 120 ft/sec, passing 1 foot of depth would take 1/120 = 0.008 seconds

Duration of impact would be 0.016 seconds:
Average Force = Impulse / dt = 2536.8/0.016 = 158550 N or 16 Tons.
Deceleration = Average Force / mass = 158550/70 = 2265 m/s^2 or 231 gs

Highly doubtful you’ll survive.

Now if you were lucky enough to fall feet first and perfectly vertical.

Impact depth = (let’s assume the person was 6 ft tall).

So 6/120 = 0.05 seconds

Duration of impact would be ~0.1 seconds:
Average Force = 25368 N or 2.6 Tons.
Deceleration = Average Force / mass = 25368/70 = 362.4 m/s^2 or 37 gs

If you did survive, the impact would be enough to shatter all your bones from your feet to your hips. There may be significant damage to your vital organs as well.

And for those of you still with me, a bonus.  Here’s a great example of peer-pressure and dumb-assery… warning to the faint of heart, you may not want to click this link.  Nothing malicious, it’s YouTube, but it’s pretty disturbing.

Advertisements

One thought on “Ahhh….yup.

  1. Thanks for the wonderful review of the physics of jumping into water. When I was a dumb teenage Master of the Universe, I jumped off a 60 ft cliff on a dare, stuck the entry but still hit pretty hard. Just once.

    Today’s strip makes us confront, once again, a fundamental science flaw. Is this island formed by a volcano that has steep, lava formed cliffs or by coral skeletons that create flat sandy beaches? The story line says volcano, but the drawings, up to now, have shown sandy atoll.

    I expect more from a nature-based educational strip. But then we suffered miles of 100 watt bio-luminescence in the bat cave…

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s