Acompressed spring, with spring constant 1900 n/m, is sitting on a level, frozen lake. one end of the spring is anchored firmly at one end to a large rock that pokes through the ice, and the other touches a 3.5 kg, rectangular block of ice. the spring is compressed a distance of 15 cm. the ice is very smooth and is slightly wet, making it, for all practical purposes, frictionless. a) what is the potential energy of the spring when it is compressed? b) the spring is released, which then pushes the block across the ice. what is the kinetic energy of the ice block as it moved across the ice? c) what is the speed of the block of ice, once it is moving on the frozen lake? d) the block of ice now slides up an icy ramp (also smooth and slightly wet). what is the gravitational potential energy of the block when it reaches the highest point on the ramp? e) when the block is at its highest point on the ramp, how high above the frozen lake will it be?

21.375 J

21.375 J

3.49489 m/s

21.375 J

0.62254 m

Explanation:

k = Spring constant = 1900 N/m

x = Displacement of spring = 15 cm

g = Acceleration due to gravity = 9.81 m/s²

m = Mass of block = 3.5 kg

Potential energy is given by

The potential energy of the spring is 21.375 J

As the energy in the system is conserved we get the kinetic and potential energy are equal

The velocity of block is 3.49489 m/s

Again, as the energy of the system is conserved

The gravitational potential energy is 21.375 J

The height the block will reach is 0.62254 m

from

explanation:

wind is defined by the direction it blows from.   for example, a wind blowing from north to south is called a northerly wind.

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.