PRACTICE IT Use the worked example above to help you solve this problem. A nears

Question

PRACTICE IT Use the worked example above to help you solve this problem. A nearsighted sheriff fires at a cattle rustler with his trusty six-shooter. Fortunately for the rustler, the bullet misses him and penetrates the town water tank, causing a leak (see figure). (a) If the top of the tank is open to the atmosphere, determine the speed at which the water leaves the hole when the water level is 0.510 m above the hole. m/s (b) Where does the stream hit the ground if the hole is 2.75 m above the ground?

Explanation / Answer

H = 0.51 m

h = 2.75 m

a) speed of water while leaving the whole = sqrt(2gH) = sqrt( 2 x 9.8 x 0.51) = 3.161645 m/s

b) d = sqrt(2gH) x sqrt(2h/g) = 2 x sqrt(Hh) = 2 x sqrt(0.51 x 2.75) = 2.36854 m

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