How much work is done by the force field F to move block of steel along a straight line from point A to point B, where the distance and force are measured in Meters and Newtons respectively. F = 4i - 6j + 7k A(0, 10, 8), B(6, 16, 22) а. 88J b. 78J с. 84J d. 86J е. 85J O a O b Ос O d O e
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- A particle starts at the point (-1, 0), moves along the x-axis to (1, 0), and then along the semicircle y = √(1 - x2 )to the starting point. Use Green's Theorem to find the work done on this particle by the force field F(x, y) = ‹3x, x3 + 3xy2›.Find the work done by a forceDetermine the flow rate of water across the net if the velocity vector field for the river is given by v and the net is described by the given equations. v =〈x − y,z + y + 4, z^2〉, net given by x^2 + z^2 ≤ 1, y = 0, oriented in the positive y-direction.
- 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 particle moves along line segments from the origin to the points (1, 0, 0), (1, 3, 1), (0, 3, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i + 5xyj + 4y2k. Find the work done.A highway safety institution conducts experiments in which cars are crashed into a fixed barrier at 40 mph. In the institute's 40-mph offset test, 40% of the total width of each vehicle strikes a barrier on the driver's side. The barrier's deformable face is made of aluminum honeycomb, which makes the forces in the test similar to those involved in a frontal offset crash between two vehicles of the same weight, each going just less than 40 mph. You are in the market to buy a family car and you want to know if the mean head injury resulting from this offset crash is the same for large family cars, passenger vans, and midsize utility vehicles (SUVs). The data in the accompanying table were collected from the institute's study. Complete parts (a) through (c) below.
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