Suppose one cylinder is bolted to a sturdy ceiling. How many 81 kg football players would need to hang from the lower cylinder to pull the two cylinders apart

This question is incomplete, the complete question is;

The two 60 cm in diameter cylinders in Figure 13.15, closed at one end, open at the other, are joined to form a single cylinder, then the air inside is removed.

a) How much force does the atmosphere exert on the flat end of each cylinder?

b) Suppose one cylinder is bolted to a sturdy ceiling. How many 81 kg football players would need to hang from the lower cylinder to pull the two cylinders apart ?

a) the atmosphere exert a force of 2.9 × 10⁴ N on the flat end of each cylinder

b) 36 football players each of 81 kg are needed to pull the two cylinders apart.

Explanation:

Given that;

diameter of cylinder is 60 cm = 0.6 m

then radius r will be 0.6/2 = 0.3 m

a)

How much force does the atmosphere exert on the flat end of each cylinder;

we know that; F = PA

inside its the flats end that its in question; Area A = πr².

We Know that, Pressure P due to atmosphere is 1.013 × 10⁵ Pa

so, F = 1.013 × 10⁵ Pa × π( 0.3 )²

F = 1.013 × 10⁵ Pa × 0.09π

F =  28641.9 N ≈ 2.9 × 10⁴ N

Therefore, the atmosphere exert a force of 2.9 × 10⁴ N on the flat end of each cylinder.

b) number of players needed to pull the two cylinders apart.

given that; m = 81 kg and g is 9.8 m/s²

n = F / mg

we substitute

n = 28641.9 / (81 × 9.8)

n = 28641.9 / 793.8

n = 36.08 ≈ 36

Therefore, 36 football players each of 81 kg are needed to pull the two cylinders apart.

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.

small = small current large mag large current