A particle moves along X -axis from x=0 to x=5 ~cm under the influence of force given by F= (7-2 x+3 x^2 ) N . The work done in the process is

Step-by-step solution

The given force varies with distance. Therefore, work done, W= ₀^ x=5 F d x aligned & = ₀^5 (7-2 x+3 x^2 ) d x & = [7 x- 2 x^2 2 + 3 x^3 3 ]₀^5 aligned aligned & = [7 5-(5)^2+(5)^3-0 ] & =135 ~J aligned