Question
A body of mass 1 kg moves from point A(2 m, 3 m, 4 m) to B ( 3 m, 2 m, 5 m) . During motion of body , a force
`vec(F) = (2n) hat(i) - (4N) hat(j )` acts on it. The work done by the force on the particle during displacement is
Answer: Option C
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The displacement of body is
`vec(AB) = vec (r_B) - vec( r_A)`
= `(3 hat(i) + 2 hat (j) + 5hat(k)) - (2hat (i) + 3hat (j) + 4hat(k))`
= `hat(i) - hat(j) + hat (k)`
`:.` W = `vec(F) * vec(AB)`
= `(2 hat(i) - 4hat(j)) * ( hat(i) - hat(j) + hat(k))`
= 2 - 4 = - 2 joule.
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