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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

`5 hati - hatj `

B

`-5 hati - hatj`

C

`5 hati + hatj `

D

`-5 hati + 9 hatj `

Text Solution

Verified by Experts

The correct Answer is:
D
For uniform velocity, acceleration is zero. Hence, resultant force will be zero.
`therefore vecF_1 + vecF_2 + vecF_3 =0`
` or ( 2hati - 5 hatj ) + vecF_3 =0 or vecF_3 = (5 hati + 9 hatj)`
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