Work done W = -7 Jule

Question 16) A constant force Fwith x, y and 2 components given by (1, -3,0) (in...
A force acting on a particle moving in the xy-plane is given by F = (2x3y4i+x2y3j), where F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x=5.00 m and y = 5.00 m as shown in the figure. Calculate the work W = F(r) dr done by F on the particle as it moves along a) The purple path b) The red path
i+ 2 + 3k onto d = 58 - R. Find the sca lar and vector projections of b 1. If a (3,0,-1), find a vector b such that the comp ab 2 2. 3. Find the work done by F =(1,0,-3) that moves an object from (0,10,4) to (3,12,14) along a straight line. The distance is measured in meters and the force in Newtons. 4. A sled is pulled along a level path by a rope. The work to...
The constant force F with components F_x = 3 N and F_y = 4 N, shown above, acts on a body while that body moves from the point P (x = 2 m, y = 6 m) to the point Q(x = 14 m, y = 1 m). How much work does the force do on the body during this process? 16 J 30 J 46 J 56 J 65 J
2. A particle moves in the x-y plane. Its coordinates are given as functions of time t(2 0) b x(t)-R(at-sina)t), )Sketch the trajectory of the particle. This is the trajectory of a point on the rim of a wheel y(t)-R(1-cosω t), where R and ω are constants. (a) (3 that is rolling at a constant speed on a horizontal surface. The curve traced out by such a point as it moves through space is called a cycloid. (b) (5 Find...
A force acting on a particle moving in the x-y plane is given by F=2yi+x^2j N, where x and y are in meters. The particle moves from the origin to a final position having the coordinates x=5 m and y=5 m and shown in the figure above. Calculate the work done by F along (a) OAC, (b) OBC, and (c) OC. (d) Is F a conservative or non-conservative force? Explain?
In each of the following exercises, you are given a force field F = F(x, y), in Newtons, and a oriented, closed curve C in the xy-plane, where x and y are in meters. Use Green's Theorem to calculate the work done by F along C. 9. F(x, y) = (2,5 – yº, x3 – y5), and C is the curve which starts at (0,0), moves along a line segment to (1/V2,1/V2), moves counterclockwise along the circle of radius 1,...
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((x-2)^2)/16 + ((y+4)^2)/9 =1 find the point closest to (3,0) Name 2 + 2 = 1 is closest to the point 10) What point on the graph (3,0)? Show transcribed image text Expert Answer o
The force field F (x, y) = (x + 4y)i + (x^2 − 3)j acts on an object traveling from (0, 0) to (0, 1). The object moves along the path x = c(y − y^2 ) with 0 ≤ y ≤ 1. Determine the value of c that minimizes the work done on the object by the force field. Please use the line work integral, and optimization
Please solve these three questions!
(1) Length of graphs a) Let a path C be given by the graph of y g(x), a 3 < b, with a piecewise C1 function g : [a, b - IR. Show that the path integral of a continuous function f: IR2- R over the path C is b) Let g : [a, b] - IR be a piecewise C1 function. The length of the graph of g on (t, g(t)). Show that [a,b]...
Student Name 1. A particle confined to motion along the x axis moves with constant acceleration fromx = 2.0 m to x 8.0 m during a 2.5-s time interval. The velocity of the particle at x - 8.0 m is 2.8 m/s. What is the acceleration during this time interval? 2. The polar coordinates of a point are r=5.50 m and Angle 240°. What are the Cartesian coordinates of this point? 3. On occasion, the notation A= [A, O] will...