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A body is moving under the action of two...

A body is moving under the action of two force `vec(F_(1)=2hati-5hatj` , `vec(F_(2)=3hati-4hatj` . Its velocity will become uniform under a third force `vec(F_(3)` given by.

A

`5hati-hatj`

B

`-5hati-hatj`

C

`5hati+hatj`

D

`-5hati+9hatj`

Text Solution

Verified by Experts

The correct Answer is:
D
For uniform velocity, acceleration is zero. Hence, resultant force will be zero. `therefore vec(F)_(1)+vec(F)_(2)+vec(F)_(3)=0,`
`(2 hati-5hatj)+(3hati-4hatj)+vec(F)_(3)=0 or vec(F)_(3)=(-5hati+9hatj)`
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