A60.0-kg skier with an initial speed of 12.0 m/s coasts up a 2.50-mhigh rise and angle is 35 degrees. find her final speed at the top, given that the coefficient of friction between her skis and the snow is 0.0800. (hint: find the distance traveled up the incline assuming a straight-line path as shown in the figure.)

Assuming a straight-line path as shown in the figure, the skier's final speed at the top is 9.5 m/s.

Given the following data:

To find the skier's final speed at the top:

First of all, we would determine the distance traveled up the incline (assuming a straight-line path) by using trigonometry:

From Sine law:

Distance, d = 4.36 meters.

The initial kinetic energy possessed by the skier would generate a final kinetic energy, potential energy and heat due to friction as work is done.

Mathematically, this given by the formula:

    .....equation 1.

Since we're solving for her final speed, we would rearrange the formula:

   .....equation 2.

We would apply Newton's Second Law of Motion to determine the force acting on the skier as she ascend straight-line path:

Force, F = 38.54 Newton.

Substituting the values into eqn 2, we have:

Final speed, = 9.5 m/s

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9.46 m/s

Explanation:

Let's start by writing the equation of the forces along the two directions:

- Parallel to the ramp:

where the first term is the component of the weight parallel to the ramp, and the second term is the frictional force

- Perpendicular to the ramp:

where N is the normal reaction of the ramp and the second term is the component of the weight perpendicular to the ramp

Solving the second equation, we get

And we can substitute it into the first equation:

From this equation, we can find the acceleration of the skier:

And the sign is negative because the acceleration is downward along the ramp.

By using trigonometry, we can also find the length of the ramp: in fact, the height is h=2.50 m, while the angle is , so the length is given by

And now we can find the final speed of the skier at the top by using the following SUVAT equation:

where v = ? is the final speed and u = 12.0 m/s is the initial speed. Substituting, we find

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.

wire in brush may conduct electricity from cell to drill and vice versa electrc shock possible