Afreight train consists of 3 engines at the front, followed by 32 rail cars. both the engines and rail cars have the same mass of 638,394 kilograms each. each engine exerts the same force backward on the track to push the train forward. the total force of friction on the entire train is 749,869 newtons and is evenly distributed among all of the cars and engines. even with this friction present, the train engines are able to accelerate the train at 0.035 meters/second2. what is the magnitude of the force in newtons in the coupling between the engine and the first rail car?

Answer

consider the second car till the 32nd car as one system .

forces acting on the system:

Force in the direction of motion =T

Friction force=31 x friction force on each car

                    =

                    = 664169.6857 N

writing force balance equation,

T - f = m a

T-  664169.6857 = 638394 x 31 x 0.035

T = 664169.6857 + 638394 x 31 x 0.035

T = 1356827.1757 N

now consider the first rail car as the single system.

forces acting are:

pulling force in forward direction=T₁

force due to the rest of the 31 cars =T , in backward direction

friction force acting on this car

writing force balance equation:

T₁ - T - friction force = mass ₓ acceleration

T₁ - 1356827.1757  - (749869/35) = 638394 x 0.035

T₁ = 1400595.7943 N

hence, force in the coupling between the engine and the first rail car is 1400595.7943 N.

i dont think you are wrong for wanting to get even with someone who did you wrong.

(i'm an eye for an eye kind of person) but if this person hurt you in a sexual way, i dont suggest doing anything to him. he should be taken to the proper authorities, you could go to jail depending on what you do. if it was something small like your sibling took your spot on the couch, than yea, i would get even with him by taking one of his favorite snacks lol. but i dont suggest you doing anything illegal.

elly's long hair:

a. if the salon only takes cash, then this isn't the problem. it doesn't matter how much she has in her checking account.   she can't get a haircut until she has the cash.

b. if she has overdraft protection, then there's no problem.   she can go ahead and write a check that her account can't cover, then sometime later, pay the bank some outrageous usury for loaning her a few bucks for a few days, but with beautiful hair.

c. if elly has some principles, and doesn't want to write a bad check, then now she has a problem.   her desire for the new hairstyle is in conflict with her honesty and integrity.

d.   if the bank will not process a check she writes, then even if she had a million $$ in her account, she couldn't use any of it.   the amount she has in her account is not the problem.   and if i may suggest, she might as well close her checking account, and put the money where it'll work for her.   it's not doing her a bit of good in a checking account, since she can't write any checks.

justin can't pay the full balance:

a. he can't even handle the credit limit he has now.   under no circumstances should he ask for a higher limit.

b.   he can ask for the grace period to be extended.   but that's no solution, the bank will almost certainly refuse anyway, and there are much better options.   he knew the rules of his credit card when he started using it.

c.   he definitely should pay the interest on the balance, plus as much of the balance as he can cover at the same time.

d.   he definitely should pay the minimum otherwise they could shut down his card.   he should also pay as much more as he possibly can.   he should also remember the awkward situation he's in, stop buying stuff on credit that he can't afford, and avoid adding any more debt.

i'd say that justin's best best option isn't on this list of choices.   what he has to do:   pay as much as he can at least the minimum payment plus as much more as he can and then avoid adding more debt.