3. Determine the work done in carrying a -auc charge from P, (2, 1,-D to Pa...
3. Calculate the work done by a particle moving from 0 to B, following the path described below. The force acting on the particle is F = x i+yj. y B x 1: parabola, y = x2, II: straight line, y = -3x+27 2
Determine the work done during the transport of a load of +10°C from P1(2,4,-8) to P2(-2,8,-4) along the straight line in the E=axy + ayx field.
Determine the work done by a particle that moves from the P position (0,0) to the Q position (1,0) in the vector field: F (x, y) = e^3y i + (-3e^3y x + y) j
a. Find the work done BY a gas as it expands and is taken from state I to state F along the path IABF indicated in the PV diagram below given that P; = 4 x 106 Pa, Pr= 1 x 106 Pa, V; = 2 m), and Vf= 10 m². First, scale the graph according to these values. b. How much work is done BY the gas if it is now compressed from state F to state I along...
с 1. Determine the work done by force F along the path C, that is, compute the line integral F.dr from point A to point B. You need to find the parameterization of the curve C and use it to find the line integral: Work = ff.dr =[F(F(t)). 7"(t)dt с с Use F = (-y)ỉ +(x)ì in Newtons. and use a = 4 and b = 5 meters in the figure. Parameterization of a straight line: Remember that for any...
3. a) Calculate the work done in moving a 2C charge from B(-1, 3,0) to A(2, 4, 4) in an electric filed. The electric field is defined by the expression: Ē = 2xāx +3 yay - 4zā: NIC. (12 Marks) b) Find electric field intensity Ē at (0, 3, 4) m in rectangular system of coordinates due to a point charge Q = 0.5 u placed at the origin. (8 Marks)
(2) Find the work needed to move a 6 nC charge from point P(2-23) for 2 μm along the unit vectors (i)퀴帰川k Given the electric field in the systemis E-5 (8xyzi + 4x":ノー4xzyk ) Vim. I+ラ/tラK (ii)줘悖川k vectors (i) and and (3) Let the electric potential field be V-100 r cos φ volt. Find E and at P(r-3 m, ф 60°, z-2 m)
Find the work done by the force field F(x, y,2)= <2ay - :, x° +23, 2y-2x > in moving an object from point A(-3,-2,-1) to point B(1,2,3) along the following paths: a line segment followed by the arch of a cycloid, followed by the top half of a parabola, and followed by another line segment at the end. Evaluate for full credit. (9 pts)
Find the work done by the vector field F(x, y) = {xy i + áraj (the vector field from Question 1) on a particle that moves from (0,0) to (0, 1) (moving in a straight line up and along the y axis) and then from (0, 1) to (3, 2) along the curvey= Vx+1. Thus the path is given by along the curve y=x+1 (0,0) up the y-axis + (0,1) (3,2) 1 F. dr 2 F. dr = 0 18...