Draw a lift pump diagram and explain how it operates. Solve the following problems
A metal box of weigh 20 N rests on its 1 m by 0.6m side on floor. How
much is the pressure exerted by the metal box on the floor? Take ga
10 m/s?
A rectangular container of base 50 cm by 30 cm is filled with water to a
depth of 5 cm. How much is the pressure exerted at the base?
(Take pw= 1000 kg/m3 and g =10 m/s2)
How much is the pressure exerted at a point where a ball- pointed
pen of area 1mm? is pushed against the paper with a force of 24 N?
Suppose a scientist was able to construct a barometer with a liquid
being twice denser than mercury, then how high would the liquid raise
ard pressure?
m. if the
oil to a

1) The pressure exerted by the metal box on the floor is 33. Pa

2) The pressure exerted at the base is 250 Pa

3) The pressure exerted at the point where the pen pushes against the paper is 24 MPa

Explanation:

1) Pressure is given by the following relation

The force exerted by the weight of the metal box, F = 20 N

The dimensions of the side on which the metal box rests = 1 m by 0.6 m

∴ The area of the side on which the metal box rests, A = 1 m × 0.6 m = 0.6 m²

The pressure exerted by the metal box on the floor, 'P' is therefore given as follows;

The pressure exerted by the metal box on the floor, P = 33. Pa

2) The dimensions of the rectangular container are;

Base dimension = 50 cm by 30 cm = 0.5 m by 0.3 m

The depth to which the water is filled in the container = 5 cm = 0.05 m

The density of water, = 1,000 kg/m³

The volume of water in the container, V = Base area × Height = 0.5 m × 0.3 m × 0.05 m = 0.0075 m³

∴ V = 0.0075 m³

The mass of the water, m = V × = 0.0075 m³ × 1,000 kg/m³ = 7.5 kg

m = 7.5 kg

The weight of the water, W = m × g = 7.5 kg × 10 m/s² = 75 N

The base area, A = 0.5 m × 0.6 m = 0.3 m²

The pressure exerted at the base, P = W/A = 75 N/(0.3 m²) = 250 Pa

The pressure exerted at the base, P = 250 Pa

3) The area of the point of the ball-pointed pen pushing against the paper, A = 1 mm² = 0.000001 m²

The force with which the point on the pen pushes against the paper = 24 N

The pressure exerted at the point where the pen pushes against the paper, P = W/A

∴ P = 24 N/(0.000001 m²) = 24,000,000 Pa

The pressure exerted at the point where the pen pushes against the paper, P = 24,000,000 Pa = 24 MPa.

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.