A force field is given by F = Fo (a°i + xyj + 2Â), find the work perform by this force on a circle of radius R centered at (0,0, 1) on the plane z = 1. Repeat the calculation along a circle with radius R on the ry-plane with z = 0. Is this a conservative force field? %3D
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- The force acting on a particle in the X-Y plane is given by F=2(xy)I What is the work done by this force as this particle moves along the path OC? (The blue path in the figure above)Hey I am stuck on this question my potential function is f(x,y,z) = c/(Sqrt(x^2 + y^2 + z^2) and I got W = c/d2 - c/d1 but that is wrong.Need fast comp
- Calculate the work done (in J) by an 80.0 kg man who pushes a crate 3.65 m up along a ramp that makes an angle of 20.0° with the horizontal. (See the figure below.) He exerts a force of 550 N on the crate parallel to the ramp and moves at a constant speed. Be certain to include the work he does on the crate and on his body to get up the ramp. FA) When the force is parallel to the displacement B) When the force magnitude is maximum C) When the displacement magnitude is the maximum D) When the force is perpendicular to the displacement3. A rock weighs 700 g and has a potential energy of 1 500 J. What height is it found at? to search acer TravelMate B
- Compute the work performed in moving a particle al ong the path r(t) = (r*,te,2-t) for 0St54 by the force field F = {cos z,yz,(x+y)*}. Include a plot of the path and the force field on the same axis.The gravitational field of a spherical object at any distance from it points back to the center of the object. That is, in the field simulator it has arrows toward the center of the sphere. Put a test mass in this field and it will fall toward the center with increasing speed following the line of force. Locally, the field is the acceleration of gravity at that point. Now, how would you move a small mass so that you would not have to do work on it during the move? That work would be the change its energy. You would move it radially toward the center. You would move it radially away from the center. You would move it perpendicularly to the line of force, that is, move it in a local plane that is perpendicular to the radius at that point. There is no way to do this. Any displacement direction will take work.Please include formulas and show all work thanks
- A student could either pull or push, at an angle of 30⁰⁰ from the horizontal, a 60 kgkg crate on a horizontal surface, where the coefficient of kinetic friction between the crate and surface is 0.21. The crate is to be moved a horizontal distance of 25 mm A) Compared with pushing, pulling requires the student to do more, less, or the same work. B) Calculate the minimum work required for both pulling and pushing. Express your answers using two significant figures separated by a comma. Answer must be in J Wpulling, Wpushing =show workA child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g. b)Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop). c)What is the child's final speed, vf in m/s?