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During displacement of a body two forces...

During displacement of a body two forces are acting on it simultaneously. Forces are `vec(F_(1))=(2hat(i)-2hat(j)),vec(F_(2))=(hat(i)+5hat(j))`. Work done by individual force on body is `(-8"Joule")`and (2 Joule) respectively then displacement of body will be

A

`(-3hat(i)+hat(j))`

B

`(3hat(i)-hat(j))`

C

`(3hat(i)+hat(j))`

D

`(-3hat(i)-hat(j))`

Text Solution

Verified by Experts

The correct Answer is:
A
`vecS=(ahat(i)+bhat(j))`
`-8=2a-2b`
`2=a+5b`
`vec(S)=(-3hat(i)+hat(j))`
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