Answer
Magnitude of force is $30 N$
Work Step by Step
Work done by the force:
$W=-\Delta U=-\left( U_{c}-U_{A}\right) =-\left( 45-15\right) =-30J$
Then,
$W=F\Delta x=F\times \left( 6-5\right) =F\times 1m=-30J\Rightarrow F=-30N$
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