1.

A uniform force of ( 3hat(i)+hat(j)) N acts on an particle of mass 2 kg . Hence the particleis displacedfrom position (2hat(i)+hat(k))m to position (4hat(i)+3hat(j)-hat(k))m . Thework done by the force on the particle is

Answer»

15 J
9 J
6 J
13 J

Solution :`Delta vec(r ) = vec(r_(2)) -vec(r_(1))`
` = 4hat(i) +3hat(j) +hat(k) -2hat(i) - hat(k) = 2hat(i) +2hat(j) `
` :. ` WORK W ` = vec(F). Delta vec(r )`
` = ( 3hat(i) +hat(j)) . (2hat(i)+3hat(j))`
`= 6+3 `
` :. W = 9 J `


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