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Advanced Math/Train Derailment Example.

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Question
Dear Prof Scott

http://en.wikipedia.org/wiki/Newton's_laws_of_motion
http://teachertech.rice.edu/Participants/louviere/Newton/‎
http://en.wikipedia.org/wiki/Momentum‎
http://www.stmary.ws/highschool/physics/home/notes/dynamics/momentum/LAWCONSERVA

Example : Rocket launching is example of Sir Issac Newton's
Third Law of Motion.


Examples :

1. Train running at 300 km/hr speed may get derailed by applying Sudden Brakes manually by motorman or automated.

2. Automobile viz Car, Truck etc is moving at 150 km/hr speed. Human Beings sitting in the automobile experience a forward push when sudden brakes are applied by the driver.

i.e. Body having mass moving at maximum speed is suddenly brought
to rest by applying resist force (apply brakes).

The above two examples best illustrates which Sir Issac Newton's three Laws of motion, Law of conservation of momentum etc ?.

Awaiting your reply,

Thanks & Regards,
Prashant S Akerkar

Answer
It is known that the three principles of dynamics presented by Sir Isaac Newton are
 1: Objects at rest tend to stay the way they are unless acted on by an outside force.
 That is, objects at rest stay at rest and objects in motion maintain their current speed.

 2: When an object is pushed, it increases in speed.  
 The bigger the object, the more push is needed.

 3: For every action, there is an equal and opposite reaction.

Now to get back to the questions:
1. The train being derailed is Isaac Newton's 3rd law of motion - the brakes are the action
and the derailment is the reaction.

2. The person in the automobile is suddenly brought to rest is again Newton's 3rd law.

Neither of these is an object at rest or an object in constant motion, so the 1st law of motion doesn't  apply.  Neither of these is an object increasing in speed from being pushed, so the 2nd law doesn't apply.

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Scott A Wilson

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I can answer any question in general math, arithetic, discret math, algebra, box problems, geometry, filling a tank with water, trigonometry, pre-calculus, linear algebra, complex mathematics, probability, statistics, and most of anything else that relates to math. I can also say that I broke 5 minutes for a mile, which is over 12 mph, but is that relevant?

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Experience in the area; I have tutored people in the above areas of mathematics for over two years in AllExperts.com. I have tutored people here and there in mathematics since before I received a BS degree back in 1984. In just two more years, I received an MS degree as well, but more on that later. I tutored at OSU in the math center for all six years I was there. Most students offering assistance were juniors, seniors, or graduate students. I was allowed to tutor as a freshman. I tutored at Mathnasium for well over a year. I worked at The Boeing Company for over 5 years. I received an MS degreee in Mathematics from Oregon State Univeristy. The classes I took were over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more. I graduated with honors in both my BS and MS degrees. Past/Present Clients: College Students at Oregon State University, various math people since college, over 7,500 people on the PC from the US and rest the world.

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My master's paper was published in the OSU journal. The subject of it was Numerical Analysis used in shock waves and rarefaction fans. It dealt with discontinuities that arose over time. They were solved using the Leap Frog method. That method was used and improvements of it were shown. The improvements were by Enquist-Osher, Godunov, and Lax-Wendroff.

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Master of Science at OSU with high honors in mathematics. Bachelor of Science at OSU with high honors in mathematical sciences. This degree involved mathematics, statistics, and computer science. I also took sophmore level physics and chemistry while I was attending college. On the side I took raquetball, but that's still not relevant.

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I earned high honors in both my BS degree and MS degree from Oregon State. I was in near the top in most of my classes. In several classes in mathematics, I was first. In a class of over 100 students, I was always one of the first ones to complete the test. I graduated with well over 50 credits in upper division mathematics.

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My clients have been students at OSU, people who live nearby, friends with math questions, and several people every day on the PC. I would guess that you are probably going to be one more.

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