The work done by a force F=−6x3i^N in displacing a particle from x = 4 m to x = -2 m is
-240 J
360 J
420 J
will depend upon the path
dW=F⋅ds=−6x3i^⋅(dxi^+dyj^+dzk^)or dW=−6x3⋅dx∴ W=∫4−2 −6x3⋅dx=−32x44−2 =−32[16−256]=360J