1.

A body of mass 5 kg is acted upon by a constant forcevecF=(-3overset(wedge)(i)+6overset(wedge)(j))NIts initial velocity at t = 0 isvecu = (6overset(wedge)-2overset(wedge)ms^(-1) what is its velocity after 5s ? What is its magnitude ?

Answer»

`(3overset(wedge)(i)+6overset(wedge)(j)),5ms^(-1)`
`(2overset(wedge)(i)-2overset(wedge)(j)),2sqrt(2)ms^(-1)`
`(3overset(wedge)(i)-4overset(wedge)(j)),5ms^(-1)`
`(2overset(wedge)(i)-3overset(wedge)(j)),sqrt13ms^(-1)`

Solution :Here `VECF=(-3hati+6hatj)N`
`m=5kg`
`:.VECA=(-3hati+6hatj)/(5)`
Now `vecupsilon=vecu+vecat`
`=(6hati-2hatj)+(-3hati+6hatj)/(5)xx5`
`=(6hati-2hatj)-3hati+6hatj`
`vecupsilon=(3hati+4hatj)`
`|upsilon|=sqrt(9+16)=5ms^(-1)`
HENCE (a) is the right choice.


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