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A uniform force of ( 3hat(i)+hat(j)) N a...

A uniform force of `( 3hat(i)+hat(j))` N acts on an particle of mass 2 kg . Hence the particle is displaced from position `(2hat(i)+hat(k))` m to position `(4hat(i)+3hat(j)-hat(k))` m . The work done by the force on the particle is

A

15 J

B

9 J

C

6 J

D

13 J

Text Solution

Verified by Experts

The correct Answer is:
B
`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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