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The figure shows an overhead view of a 0.0200 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force

`vec(F)_(1)`

has a magnitude of 3.00 N and is at

`\theta _(1)=29.0\deg `

. Force

`vec(F)_(2)`

has a magnitude of 11.0 N and is at

`\theta _(2)=34.0\deg `

. In unit-vector notation, what is the third force if the lemon half (a) is stationary, (b) has the constant velocity

`vec(v)=(11.0hat(i)-12.0widehat(j))(m)/(s)`

, and (c) has the varying velocity

`vec(v)=(14.0that(i)-11.0that(j))(m)/(s)`

, where

`t`

is time? (a) Number

`hat(i)+`

`hat(j)`

Units (b) Number

`?`

`hat(i)+?`

`widehat(j)`

Units (c) Number

`hat(i)+?`

```
hat(j)
Units
```