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# The Army of the Nation of Whynot has a plan to propel small vehicles across the battlefield?

## The Army of the Nation of Whynot has a plan to propel small vehicles across the battlefield by shooting them, from behind, with a machine gun. They've hired you as a consultant to help with an upcoming test. A 200 kg test vehicle will roll along frictionless rails. The vehicle has a tall "sail" made of ultrahard steel. Previous tests have shown that a 20.0 g bullet traveling at 400 m/s rebounds from the sail at 100 m/s. The design objective is for the cart to reach a speed of 16.0 m/s in 30.0 s. You need to tell them how many bullets to fire per second from the machine gun. Note that your answer should be a rate, which can be fractional, rather than a quantity, which must be an integer. A five-star general will watch the test, so your ability to get future consulting jobs will depend on the outcome.

Asked By: MJ - 3/8/2008
Best Answer - Chosen by Asker
Assuming that the bullets do not lose speed as they travel through the air - a highly questionable assumption for bullets traveling at supersonic speed - and assuming that the bullets rebound at 100 m/s with respect to the sail even if they hit the sail at somewhat less than 400 m/s - another somewhat questionable assumption - if the vehicle is already traveling at v, each bullet will impact the sail at a velocity of 400 − v m/s and will rebound at 100 m/s with respect to the sail, giving an increase in momentum to the vehicle of 0.0200*(500−v) kg∙m/s, increasing the velocity by 2e-2/2e2*(500−v) m/s. If r is the rate at which the bullets are fired, the the acceleration of the vehicle can be expressed as
a = (500−v)e-4*r
When we solve this differential equation for v with an initial condition of v(0) = 0, we find that
v(t) = 500 (1 − e^(-r*1e-4*t))

We know that v(30.0 s) = 16.0 m/s and we can solve this equation for r:
30.0 = 500(1 − e^(-r*16.0*1e-4))
0.06 = 1 − e^(-r*1.60e-3)
0.94 = e^(-r*1.60e-3)
ln (0.94) = -r*1.60e-3
r = ln (0.94) / -1.60e-3
r ≈ 38.67 bullets/sec

This compares well with the approximation of 37.5 bullets/sec if the vehicle's acceleration remains constant at its initial value.
Answered By: devilsadvocate1728 - 3/8/2008
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# Other Career Questions

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## Is this normal for an interviewer to do this?

So today I went in for an interview and I was going in for the 2nd interview by the head chief executive. now this is where it got weird, so she asked me about my previous jobs and said how much she liked that product over that product. then she started talking about her daughter? an her divorce ...then how she didn't finish college because she was making more money doing what she did for this company ... then she talked about how her teenage daughter is a handful... I just played it cool thinking she was using some sort of psychology thing to trick me into saying something stupid. the interview ended and she seemed happy an I was escorted to the door... now I'm freaking confused? is this normal behavior for an executive? like it felt like she was going to burst into tears at one point and tell me her life problems... is this normal? was she trying to see how I react or something?
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Wen you apply at a job and they ask how mch you want as a salary what do you say?
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## How do I get a job with Dodgy work history and no experience?

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## Why honesty, hard work and dedication have no place at work?

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## What to wear to a job interview VS a career fair?

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## Rate my resume please?

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## What jobs can you get from going to an engineering school?

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## What is the difference between a nurse practitioner and an ARNP?

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## Why can't people see that technology will soon cause civil war in the USA?

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Huge bloody CONFLICT is coming. * * * Politicians keep repeating the old canard that the solution is to train and retrain Americans for the "jobs of the future." But they are either morons or are lying, since anyone who thinks about it can easily see that even if every American worker had an engineering degree or a computer science degree, the economy just doesn't need that many engineers and computer scientists. * * * * * * * Why don't more people see this? Why aren't more people talking about this? We are facing soon a catastrophe in the USA (and in other places) on par of the plagues in Europe that killed half of the population in certain areas, and on par with the depopulation in Europe brought about by WWI and WWII. Sure, you can just repeat the Luddite Fallacy, and proclaim that the economy will always create enough jobs for most people to survive. But there is no law of economics that says that any law of economics will always operate the same. Laws of economics are not like the laws of physics. Economies and life forms can and do evolve in fundamental ways that make former economic models and ways of life obsolete. I'm sure the last tribe of Neanderthals were certain that nothing was ever going to change, right before the Homo Sapiens swooped down on them, chased them into a dead end canyon were other Homo Sapiens were lying in wait with big clubs. * * * * * * * * * In the past the Luddite Fallacy was valid since machines always needed the mental acuity that only human operators could provide, and machines frequently needed maintenance by skilled human hands and minds. But now machines have mental functions that equal or surpass what humans can provide in most work functions. And computers aren't so much repaired anymore as just thrown away and replaced. How many cell phone repair shops have you ever seen? Even most laptop computers are replaced rather than repaired. More and more laptop computers never even need to be repaired for years and years. In short, when the economy has no use for most Americans, all h*ll is going to brake loose, & that's coming soon. * * * * *
2 answers - Asked By: Perro Americano Invicto - 5/16/2013

## I want to become an Escrow Officer, does anyone know how to go about it? What kind of training will I need?

I know that Escrow is within Title industry in Texas. What would be the best way to get my foot in the door. I am assuming I will have to start as an Escrow assistant and work my way up, but I would really like to find out more about this career path. How does an officer usually get licensed? Are there classes we need to take and exam to take? Any response is appreciated.
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## Are there any career in computers that doesn't involve code scripting?

1 answer - Asked By: Big D - 5/3/2013

## Web designer looking to jump into web producing at large agency. would love your advice!?

I've always freelanced as a web designer and might have an opportunity to work at a large ad agency. sorta nervous about the culture and role, so I was wondering if I could solicit feedback about the type of strengths I might need to develop, ie., strong project management (learn to use basecamp!), etc. I've held jobs on the client side as a web marketing manager and before that freelanced -- but on the very small scale. anyone with similiar experiences or feedback I'd love to hear from you!
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## How much do you tip an electrican?

I have to get an electrican to fix an overloaded circuit and possible short. so do you tip and if so, how much?
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## Audit Sales Representative? Scam?

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3 answers - Asked By: Fratty Rower - 5/20/2013
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