Ok, I\'m lost on this problem. Could someone show their work and help me figure

Question

Ok, I'm lost on this problem. Could someone show their work and help me figure this out?? An object has several forces acting on it. One of these forces is F =xyi^, a force in the x-direction whose magnitude depends on the position of the object, with =2.50N/m2. Calculate the work done on the object by this force for the following displacements of the object. A)The object starts at the point x=0, y=3.00m and moves parallel to the x-axis to the point x=2.00m, y=3.00m. B)The object starts at the point x=2.00m,y=0 and moves in the y-direction to the point x=2.00m,y=3.00m. C)The object starts at the origin and moves on the line y=1.5x to the point x=2.00m, y=3.00m. Thanks in advance...

Explanation / Answer

W=F.d ………………dor product

A) W= F.d = (axy i^). (dx i^+ dx j^) = axy xdx   …from x=0 to x= 2   and y=3

W = (ax2y)/2 = (2.5*22*3)/2 = 15 J

B) W= F.d = (axy i^). (dx i^+ dx j^) = axy xdx   …from x=0 to x= 2 and y= 0

W = (ax2y)/2 = (2.5*22*0)/2 = 0 J

C) W= F.d = (axy i^). (dx i^+ dx j^) = axy xdx   …from x=0 to x= 2 and y= 3x/2

W = (ax2y)/2 dx = ((ax2*3x/2)dx = (ax3)/2= (2.5*23)/2 = 10 J

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.