URE 9.42 A big blow See Exercise 63. FIGURE spout heights in the container in Fi

Question

URE 9.42 A big blow See Exercise 63. FIGURE spout heights in the container in Fig. 9.436 20 cm, 30 cm, and 40 cm. The water level is n tained at a 45-cm height by an outside supply. (a) W the speed of the water out of each hole? (b) Which water stream has the greatest range relative to the b . Th 10 cm, 20 cm, 30 cm is of the container? Justify your answer. FIGURE 9.43 Streams as projectiles See Exerci e In Conceptual Example 9.14, it was explained w tream of water from a faucet necks down into a snm ross-se ss-sectional area as it descends. Suppose at the to he stream i he ream it has a cross-sectional area of 2.0 cm2, an ertical distance 5.0m helow the cross-sectional ar

Explanation / Answer

Using Bernoulli's equation for constant pressure on both sides

v^2 = 2 g delta H

v = sqrt( 2 g delta H)

(i) 10 cm

Speed of water = v = sqrt( 2 * 9.81 * (45-10) * 0.01 ) = 2.62 m/s

(ii) 20 cm

Speed of water = v = sqrt( 2 * 9.81 * (45-20) * 0.01 ) = 2.21 m/s

(iii) 30 cm

Speed of water = v = sqrt( 2 * 9.81 * (45-30) * 0.01 ) = 1.71 m/s

(iv)40 cm

Speed of water = v = sqrt( 2 * 9.81 * (45-40) * 0.01 ) = 0.99 m/s

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