12-81; 12-92

12-81; 12-92 - 12-31. The nozzle of a garden hose...

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Unformatted text preview: 12-31. The nozzle of a garden hose discharges water at the rate of 15 m/s. If the nozzle is held at ground level and directed 6: 30° from the ground, determine the maximum height reached by the water and the horizontal distance from the nozzle to where the water strikes the ground. (VD): =15 00830“ =12.99 m1] (no), :15 sln30° = 7.5 ml: Maximumheight: (+T) #:vsnacu-sg) "gm" 0=(7-5)’+2(-9~81)(h~0) 4b ll!- 13:2.37m Ans s, Tune oftravel to top ofpnth: (+ v = v.) +acl 0 = 7.5 + (—9.il)t‘ r = 0.7645 a Total time along path I: 2(0.7645) = I529 a Range 3, = v1! :1 (1299)“.529) a 19.9 m Am 12-82. The balloon A is ascending at the rate 9,4 = 12 km/hand is being carried horizontally by the wind ’ at ow = 20 km/h. If a ballast bag is dropped from the balloon at the instant in = 50 m, determine the time needed for it to strike the ground. Assume that the bag was released from the balloon with the same velocity as the balloon.Also, with what speed does the bag strike the ground? 3 (+ T) v2 = v: «1- 2443-40) v; = (3.33): + 2(—9.81)(—50—0) v, = 31.50 min (+ 1’) v = v“ + Q! —3).50 = 3.33 —- 9.8“ r = 3.55 5 An: v, a 20 km/h = 5556 m/s ., = “31.50)! + {5.555}: a 32.0 m/s Am *12-92. The man stands 60 ft from the wall and throws a ball at it with a speed v0 = SOft/s. Determine the angle 6 at which he should release the ball so that it strikes the wall at the highest point possible. What is this height? The room has a ceiling height of 20 ft. v, = St)qu (—2)): s I, 4» var x=fl+50mdl U) (411v I I. +9! v, = 50.910 - 32.2! {1) (+7): :5. +vnl+ $0.1. y = 9+ some x— ten’ (3) <+ 1‘: n' = v: + 240-1.) v: a (water + u—azmu—m a; = zsoom'c — 64.4 : (4) Raqulnv' : on: I20v5 2151! n = mom‘s — 64.405) ’ 9 = 33.433' = 38." All: me 2442) 0 = Milan!!!” ~ 32.2! I =- 03652 : “WI 13411) J I SOmSIAJS‘w‘NSZ) = 37.811 Tune for ball to Mt WI“ 50m 54-“), 60 I 10(c0638.433°)1 I 8 1.53193 I From Eq. (3) y s 5051-38.‘31°(L53l93) — 16.1“.53193)‘ y = 9.830 ll k=3130+5= I‘ll ...
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12-81; 12-92 - 12-31. The nozzle of a garden hose...

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