Question

The force applied against a moving object travelling on a linear path is given by `F(x)= x + 4`. How much work would it take to move the object over `x in [ 0 , 2]`?

Answer 1

Work done

`w=int_0^2F(x)dx`

`=>w=int_0^2(x+4)dx`

`=>w=[x^2/2+4x]_0^2`

`=>w=[2^2/2+4*2]=10unit`