An object is displaced from position vector r 1-2 -3 - m to r 2-4 -6 - m under a force F -3 x 2-2 y - N- Find the work done in joules by this force-

W = ∫^r_2_r_1 F. dr = ∫^r_2_r_1 (3x^2 î+2y ĵ). (dx î+ dy ĵ+ dz k̂) = ∫^r_2_r_1 (3x^2 dx +2y dy) = [x^3+ y^2]^(4, 6) _(2,3) = 83 J ...

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Displacement

An object is ...

Question

An object is displaced from position vector
$_{1} = (2^i + 3^j) m$ to $_{2} = (4^i + 6^j) m$ under a force $F = (3 x^{2}^i + 2 y^j) N$ . Find the work done in joules by this force.

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_{1} = (2^i + 3^j) m

_{2} = (4^i + 6^j) m

\to F = (3 x^{2}^i + 2 y^j) N

{\to r}_{1} = (2^i + 3^j) m

{\to r}_{2} = (4^i + 6^j) m

\to F = (3 x^{2}^i + 2 y^j) N

_{1} = (2^i + 3^j)

m

_{2} = (4^i + 6^j)

m

\to F = (3 x^{2}^i + 2 y^j)

N

{\to r}_{1} = (2^i + 3^j) m

{\to r}_{2} = (4^i + 6^j)

\to F = (3 x^{2}^i + 2 y^j) N .

_{1} = (2^i + 3^j)

m

_{2} = (4^i + 6^j)

m

\to F = (3 x^{2}^i + 2 y^j)

N

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