what would the web strength be if there was a car with mass of 2000 kg falling off of a bridge for one second before being stopped? -initial momentum is 0 there is a downward gravitational force and an upward force from the web

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Chapter12: Static Equilibrium And Elasticity
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what would the web strength be if there was a car with mass of 2000 kg falling off of a bridge for one second before being stopped? -initial momentum is 0 there is a downward gravitational force and an upward force from the web
The first thing to consider is the strength of these webs. There are several
methods that could be used to estimate the web strength. Let me just consider
a case from a previous movie that shows Spider-Man using his webs to catch
a falling car. What kind of tension would the webs need so that they don't
break? Oh, just find the weight of a car? Nope. That's not good enough. The
webs not only support the car, but also slow the car down.
Let's say that a falling car has a mass of 2,000 kg and for 1 second before
being stopped. This means that I can use the momentum principle to find the
momentum of the car in the downward direction.
Apy
Fnet-y-mg = At
Pyf=Pyi-mg At
Since the car starts from rest, the initial momentum is zero. Now, what about
stopping the car? Once the web grabs onto the car, there will be two forces on
the car: the downward gravitational force and the upward force from the web.
Of course a web doesn't instantaneously stop the car, it also takes some
amount of time over which the web stretches. All materials stretch a little bit.
For simplicity, I will assume a stopping time that is also 1 second long. The
momentum principle looks the same as before except there are two forces on
the car and the final momentum is zero.
Fnet-y=Fw - mg
Fw=mg +
Apy
At
=mg+mg = 2mg
Apy
At
=
Transcribed Image Text:The first thing to consider is the strength of these webs. There are several methods that could be used to estimate the web strength. Let me just consider a case from a previous movie that shows Spider-Man using his webs to catch a falling car. What kind of tension would the webs need so that they don't break? Oh, just find the weight of a car? Nope. That's not good enough. The webs not only support the car, but also slow the car down. Let's say that a falling car has a mass of 2,000 kg and for 1 second before being stopped. This means that I can use the momentum principle to find the momentum of the car in the downward direction. Apy Fnet-y-mg = At Pyf=Pyi-mg At Since the car starts from rest, the initial momentum is zero. Now, what about stopping the car? Once the web grabs onto the car, there will be two forces on the car: the downward gravitational force and the upward force from the web. Of course a web doesn't instantaneously stop the car, it also takes some amount of time over which the web stretches. All materials stretch a little bit. For simplicity, I will assume a stopping time that is also 1 second long. The momentum principle looks the same as before except there are two forces on the car and the final momentum is zero. Fnet-y=Fw - mg Fw=mg + Apy At =mg+mg = 2mg Apy At =
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