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16. A 75-kg swimmer dives horizontally off a 500-kg raft. If the diver's speed immediately after leaving the raft is 4 m/s, what is the corresponding raft speed? a. 0.2 m/s b. 0.5 m/s c. 0.6 m/s d. 4.0 m/s. 17. A cannon of mass 1 500 kg fires a 10-kg shell with a velocity of 200 m/s at an angle of 45 above the horizontal.

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6.51 An air puck of mass 0.25 kg is tied to a string and allowed to revolve in a circle of radius 1.0 m on a frictionless, horizontal table. The other end of the string passes through a hole in the center of the table and a mass of 1.0 kg is tied to it (Fig P6.38).

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= 4.70 m/s m = 1.25 kg: ks = 0.40: = 0.6 0k 35 N/m (a) Calculate the magnitude of the velocity of the mass just before it first touches the spring. (b) Calculate the TOTAL distance the mass travels before its velocity first becomes zero. 16 (a) A car weighing 3000 pounds is traveling at 25.0 mi/hr. Calculate its kinetic energy in Joules.

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8 m 8 m A G B T A ˜ 40 kN T B ˜ 20 kN The airplane is traveling in a straight line with a speed of 300 kmh, when the engines A and B produce a thrust of and, respectively. Determine the angular velocity of the airplane in .The plane has a mass of 200 Mg, its center of mass is located at G,a nd its radius of gyration about G is k G = 15 m. t

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is 4.0 m/s The difference in pressure between the two ends is 4.5 ×103 Pa. The speed of the water at the narrow end is:: A. 2.6 m/s B. 3.4 m/s C. 4.0 m/s D. 4.5 m/s E. 5.0 m/s 22 11 12 2 2 P + v gy P + v gy11 22 ρρ ρ ρ+= + for a horizontal pipe y1 = y1, so these terms cancel. After this simplification, we obtain 22 112 2 P + v P + v11 22

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E) 3.97 ! 10–4 m/s2 7. A pitcher delivers a fastball with a velocity of 43 m/s to the south. The batter hits the ball and gives it a velocity of 51 m/s to the north. What was the average acceleration of the ball during the 1.0 ms when it was in contact with the bat? A) 4.3 × 104 m/s2, south B) 5.1 × 104 m/s2, north C) 9.4 × 104 m/s2, north

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Discuss Bernoulli's equation in two special cases: (a) horizontal flow (y1 = y2) and (b) a static fluid (v1 = v2 =0). Example 9.10 Torricelli's Theorem A barrel full of rainwater has a spigot near the bottom, at a depth of 0.80 m beneath the water surface.

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23. An electron with a speed of 1.2x107m/s moves horizontally into a region where a constant vertical force of 4.5x10-16N acts on it. The mass of the electron is m=9.11x10-31kg. Determine the vertical distance the electron is deflected during the time it has moved 30 mm horizontally. d x v x t 0.03m (1.2 107 m/ s)t t 2.4ns d x=0.03m F d y F v 0 g d

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0.4. 0.4 A counterweight of mass m = 4.40 kg is attached to a light cord that is wound around a pulley as shown in the gure below. The pulley is a thin …

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A uniform trapdoor shown below is 1.0 m by 1.5 m and weighs 300 N. It is supported by a single hinge (H), and by a light rope tied between the middle of the door and the floor. The door is held at the position shown, where its slab makes a . angle with the horizontal floor and the rope makes a . angle with the floor.

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Example Given: q = 4.2 l/min. v = 4 m/s. 22. 4, 2 dm3 60 s. q v. 0.00002 m2. A pipe cross-section of 0.2 cm2 would be required in order to achieve a flow velocity of 4 m/s with a volumetric flow rate of 4.2 l/min. 0, 07 10 3 m3 s sm 4 0.2 cm2. Festo Didactic GmbH & Co. KG 574181 2 Physical fundamentals of hydraulics

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3. Apply the scalar equations of equilibrium, ∑ F. X = 0 and ∑ F. Y = 0, to determine the unknown(s). If the answer is positive, then the assumed direction (tension) is correct, otherwise it is in the opposite direction (compression). 4. Repeat steps 2 and 3 at each joint in succession until all the required forces are determined.

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