Atuning fork labeled 392 hz has the tip of each of its two prongsvibrating with an amplitude of 0.600mma) what is the maximum speed of the tip of a prong? b) a housefly (musca domestica) with mass 0.0270 g isholding on to the tip of one of the prongs. as the prong vibrates, what is the fly's maximum kinetic energy? assume that the fly'smass has a negligible effect on the frequency of oscillation?

What is the length x of the side of the triangle below? (hint: use the cosine function)

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

Examine the equation. 23490th→23088ra+42he what kind of barrier would you need to block the radioactive particles from this reaction? a. a piece of paper b. a sheet of aluminum foil c. a two-inch block of lead d. a solid concrete block