Question

force is F = (5i + 2j) and displacement is S = (3i - j), then work done is equal to ​

Answer 1

Given:

Force is F = (5i + 2j) and Displacement is S = (3i - j)

To Find:

Work done?

Step-by-step explanation:

• Since we know W work done is equal to the force f times the displacement s Thus, we can write

                      $W=F\times S$

• We have F= (5i-2j) and S= (3i-j) put these value in above equation we get

                     [tex]W=(5i-2j)(3i-j)\\\\ [/tex]

•  solve the brasses to get desired result

               [tex]W=15i^2-5ij+6ij-2j^2\\\\ W=15i^2+ij-2j^2\\\\[/tex]

Thus work done is given by $15i^2+ij-2j^2$