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A body of mass 2kg is moving towards eas...

A body of mass `2kg` is moving towards east with a uniform speed of `2ms^(-1)` . A force of `3N` is applied to it towards north. The magnitude of the displacement of the body `2s` after the application of force is.

A

`4m`

B

`5m`

C

`6m`

D

`7m`

Text Solution

Verified by Experts

The correct Answer is:
B

`m=2kg`
`vec(v)=2hatim//s`
`vec(F)=3hatjN`
`vec(a)=(vec(F))/(m)=(3)/(2)hatjm//s^(2)`
Since `vec(s)=vec(vt)+(1)/(2)vec(a)t^(2)`
`vec(s)=(2hati)2+(1)/(2)((3)/(2))(4)hatj`
`vec(s)4hati+3hatj`
`|vec(s)|=sqrt(4^(2)+3^(2))` = 5m
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Knowledge Check

  • A body of mass 1 kg is moving towards east with a uniform speed of 2m/s. A force of 2N is applied to it towards north. The magnitude of the displacement of the body 2s after the force is applied is

    A
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