1. Determine the x and y components of the following vectors. For each vector, the magnitude and direction are given with respect to the + x axis,
(a) 10.50 m at an angle of 60°
[5]
(b) 7.4 N at an angle of 300°
[5]

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.)

Matter is needed to transfer thermal energy bya. conductionb. convectionc. radiation d. both a & b.

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