At its Ames Research Center, NASA uses its large 20-G centrifuge to test the effects of very large accelerations (hypergravity) on test pilots and astronauts. In this device, an arm 8.84 m long rotates about one end in a horizontal plane, and the astronaut is strapped in at the other end. Suppose that he is aligned along the arm with his head at the outermost end. The maximum sustained acceleration to which humans are subjected in this machine is typically 12.5 g .Part AHow fast must the astronaut's head be moving to experience this maximum acceleration?Part BWhat is the difference between the acceleration of his head and feet if the astronaut is 2.00 m tall?Part CHow fast in rpm (revolutions per minute) is the arm turning to produce the maximum sustained acceleration?

Explanation:

v = square root ( 12.5 x 9.81 x 8.84)

v = 32.92m/s =astronauts speed

b) astronaut acceleration ;

from ac = w^2 r

w = square root ( ac/r)

w = square root(12.5g/8.84)

= square root( 12.5 x 9.81 /8.84)

= 3.72rad/s

c) What is the difference between the acceleration of his head and feet if the astronaut is 2.00 m tall ; new r' = 8.84 - 2.00 , r' = 6.84m

d) How fast in rpm (revolutions per minute) is the arm turning to produce the maximum sustained acceleration ; i.e convert w in rads/s to rvpm

= 3.72 x 60 / 2 x 3.142

= 35.52rvpm = the angular speed

where rvpm = revolutions per minute

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.

firearm identification is the process of analyzing the bullets and cartridge cases left at a crime scene to determine if they came from a particular firearm. marks on the bullets and cartridges may be common to every firearm of that type. these are called class characteristics.