A hiker throws a stone from the upper edge of a vertical cliff. The stone's initial velocity is 25.0 m/s directed at 40.0° with the face of the cliff, as shown in the figure. 77
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- ..Consider a leather belt with the following given: width of 100 mm, thickness of 6.4 mm, velocity of 18.3 m/s. Which of the following is the centrifugal force across the belt? Note that the density of belt is approximately 974 kg/m3Group of answer choices 205 N 309 N 209 N 305 NAn airport escalator is designed to move 40 people, 75 kg each, upward at a constant speed of 0.6 m/s at 45o slope. Determine the minimum power input needed to drive this escalator. Neglect friction and drag. Please give your answer in kW.At what maximum speed does a compressed air torpedo move, which expells 18 kg of air every second at a speed of 118 m/s? The force of water resistance is proportional to the square of the velocity and is equal to 480 N at a speed of 21 m/s. (The solutiom is 44 m/s)
- A box of mass 80 kg is moving at a speed of 10 m/s on a ropeway. If the box is 40 m above the ground level, estimate the potential energy and kinetic energy of the box.If a 20 hp fishing boat motor can pull a 1150 kg boat with passengers of total mass 120 kg at a constant velocity of 13 m/s, what is the drag force on the boat by the water?Water is flowing in a 5 cm diameter pipe at a velocity of 5 m/s. The pipe expands to a 10 cm diameter pipe. Calculate the pressure just after the expansion to a 10 cm diameter pipe if the prrssure in the 5 cm diameter pipe is 300 kPa. Friction is negligible. The specific weight of water is 9.81 kN/m³.A. 301.5 kPaB. 314.9 kPaC. 311.7 kPaD. 317.4 kPa
- 1. A downward force of 100 N is applied to the small piston with a diameter of 50 cm in the hydraulic lift system shown below.a. What is the upward force exerted by the large piston with a diameter of 2m?b. What is the mechanical advantage of this hydraulic lift?c. If the input force of 100N pushes the small piston down by 2m, how high will the large piston rise? 2. Water flows through a circular pipe with a constant radius of 10cm. The speed and pressure at point A is 4m/s and 250,000Pa respectively.a. What is the speed of the fluid at Point B? b. What is the pressure at point B which is 10m higher than point A?Include a free body diagramAn irrigation line carries water from a lake down into an arid valley 810 ft below the surface of the lake. The water discharge through a nozzle with jet velocity of 220ft/s, the diameter of the jet is 4 in. Find the power loss in friction expressed in hp.A. 187B. 127C. 158.45D. 120A fluid moves in a steady flow manner between two sections in a flow line. At the entrance section A1 = 1m², V1= 0.5 m/s, P1= 4kgm/m³. At the exit section: A2 = 0.2m², V2= 0.20m³/kgm. Calculate the mass flow rate in kg/s and the speed at section 2 in m/s.
- A 16-cm diameter horizontal water jet with a speed of Vj = 20 m/s relative to the ground is deflected by a 40° cone moving to the left at Vc = 10 m/s. Determine the external force, F, needed to maintain the motion of the cone. Disregard the gravity and surface shear effects and assume the crosssectional area of water jet normal to the direction of motion remains constant throughout the flow.Water flowing in a pipe reaches a point where the cross-sectional area of the pipe is reduced to 1/3 of its previous value. If the speed of the water before the constriction is 1.31 m/s, what is the speed of the water after the constriction?A jet of freshwater strikes a series of vanes of a turbine at 25° with the direction of motion and leaves it at 150° absolute with the direction of motion. The absolute inlet velocity of the jet is 25 m/s and the vanes move at a velocity of 10 m/s. Ignore friction across the vanes. Calculate:1.1 the vane inlet angle. 1.2 the vane outlet angle. 1.3 the power/kg of water and, 1.4 the hydraulic efficiency.