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
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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.
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