Question

Under the action of a force F=3i+5j an object is displaced by 4 unit along y=2x+6 find the work done by the force

Answer 1

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Given conditions ⇒

Force = 3i + 4j

Displacement vector,

Displacement along x axis = 4i

Displacement along y axis = 3j

∴ Total displacement = 4i + 3j

From the definition of the Work, It is the Scalar or the dot product of the Force and displacement.

Using the Formula ,

∴ Work Done = F · Displacement.

= (3i + 4j) · (4i + 3j)

= 12 + 12

= 24 J.

Hence, the total work done by the particles is 24 J.