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Question: A force \(F = ( 5 \hat { i } + 3 \hat { j } )\) N is applied over a particle which displaces it fro...

A force F=(5i^+3j^)F = ( 5 \hat { i } + 3 \hat { j } ) N is applied over a particle which displaces it from its origin to the point r=(2i^−1j^)r = ( 2 \hat { i } - 1 \hat { j } ) metres. The work done on the particle is

A

–7 J

B

+13 J

C

+7 J

D

+11 J

Answer

+7 J

Explanation

Solution

Work done =F⃗⋅r⃗=(5i+3j^)⋅(2i^−j^)=10−3=+7J= \vec { F } \cdot \vec { r } = ( 5 i + 3 \hat { j } ) \cdot ( 2 \hat { i } - \hat { j } ) = 10 - 3 = + 7 J