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A particle moves from position 3hat(i)+2...

A particle moves from position `3hat(i)+2hat(j)-6hat(k)` to `14hat(i)+13hat(j)+9hat(k)` due to a uniform force of `4hat(i)+hat(j)+3hat(k)N`. If the displacement is in meters, then find the work done by the force.

A

100 J

B

200 J

C

300 J

D

250 J

Text Solution

Verified by Experts

The correct Answer is:
A
`S=vecr_(2) -vecr_(1) implies (14hati+13hatj+9hatk) - (3hati+2hatj -6hatk)`
`W=vecF. vecS = (4hati+ hatj+3hatk) .(11hati+11hatj+15 hatk)`
`=(4xx11) +(1xx11) +(3xx15) = 100 J`
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