Explain why you integrate in the vertical direction (parallel to the acceleration due to gravity) rather than the horizontal direction to find the force on the face of a dam.
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- Write Newton’s Second Law of Motion for three-dimensionalmotion with only the gravitational force (acting in the z-direction).A swimming pool is 20 ft wide and 40 ft long and its bottomis an inclined plane, the shallow end having a depth of3 ft and the deep end, 9 ft. If the pool is full of water, estimatethe hydro static force on (a) the shallow end, (b) thedeep end, (c) one of the sides, and (d) the bottom of thepool.Determine the magnitude and the direction of the resultant force measured counterclockwise from the positive x - axis.
- A man pushes a lawnmower with a constant horizontal force of 45 N and moves a distance of 8.6 m in the direction he pushes. How much mechanical work has the man done on the lawnmower?Consider a flat metal plate to be placed vertically underwater with its top 2m below the surface of the water. Determine a shape for the plate so that if the plate is divided into any number of horizontal strips of equal height, the hydrostatic force on each strip is the same.A woman exerts a horizontal force of 30 lb on a crate as she pushes it up a ramp that is 10 ft long and inclined at an angle of 20° above the horizontal. Find the work done on the box.
- A 5400-pound sport utility vehicle is parked on an 18° slope. Assume the only force to overcome is that due to gravity. Find (a) the force required to keep the vehicle from rolling down the hill and (b) the force perpendicular to the hill.A spring whose natural length is 15 cm exerts a force of 50 N when it is stretched to 20 cm. Find the work required to stretch the spring from 22 to 24 cm.The 110-lb force P is applied to the 200-lb crate, which is stationary before the force is applied. Determine the magnitude and direction of the friction force F exerted by the horizontal surface on the crate. Discuss and Justify the Result.
- The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y=0.8x2 and below the line y=240. (Here, distances are measured in meters.) The water level is 32 meters below the top of the dam. Find the force exerted on the dam by water pressure. Water has a density of 1000 kg/m3, and the acceleration due to gravity is 9.8 m/sec2 Force in newtons = My answer which was incorrect: 1823152287.47Find the work W done by a force of 5 pounds acting in the direction 45° to the horizontal in moving an object 8 feet from (0,0) to (8,0).The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y=0.8x2 and below the line y=240. (Here, distances are measured in meters.) The water level is 32 meters below the top of the dam. Find the force exerted on the dam by water pressure. Water has a density of 1000 kg/m3, and the acceleration due to gravity is 9.8 m/sec2. Force = _________ in newtons Using integral application: Context from my notes: In fluid without motion, the pressure P at depth h is P=w*h, where w is the fluid's weight - density. Fluid force on a constant - depth surface: F = p*A = w*h*A, where A stands for area of the surface. I keep getting an absurd number and don't know what I am doing wrong exactly. Thank you in advance for the help.
