Abead of mass m under the influence of gravity slides along a frictionless and massless wire whose height is given by a function y(x). assume that at position (x, y) = (0, 0) the tangent of the wire is horizontal and the bead passes this point with a given speed v0. what should y(x) be so that the horizontal speed remains v0 at all times (that is what is the shape of the wire)? one simple solution is y = 0, find the other solution. (hint: it should be a familiar shape that might make sense in hindsight). note that energy is conserved.

True or false: the cycle of seasons on the earth is caused by the tilt of the earth on its axis toward and away from the sun.

Which of the following is not a part of the respiratory system? a. pharynx b. trachea c. pancreas d. larynx hurrim timed

You are a sales representative for a company that makes a new alternate fuel for vehicles. you have prepared a presentation for the environmental engineers to sell your new product. what question do you expect the audience to ask regarding whether the new fuel will cause less damage to the environment? a. do we have to change any parts of the vehicle to use this alternate fuel? b. will the vehicles get better fuel mileage with the alternate fuel? c. how much greenhouse gas does your fuel produce compared with current fuel sources? d. is the alternate fuel more expensive than fossil fuel?