Forces acting on a block that is pushed against a wall

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  • #1
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Homework Statement
What should be the magnitude of force F so that the object is definitely moving?(Frictional force is equal to 0.5 for each newton of vertical force on the surface.)
A)25 B)30 C)40 D)50
Relevant Equations
##F_{net} =ma##
##f_{s} =µ_sN##
##f_{k} =µ_kN##
Picture of problem:
1677619868908.png


For the object to be moving, it must overcome friction.

##f=0.5*0.6F = 0.3F##
##mg=22N##

Upward motion:
##0.8F>mg+f \rightarrow 0.5F>22 \rightarrow F>44N ##

Downward motion:
##0.8F+f<mg \rightarrow 1.1F<22 \rightarrow F<20N ##

I think correct option is D. Can you please guide me if I'm wrong?
 
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  • #2
Your work looks good to me.
 
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  • #3
TSny said:
Your work looks good to me.
Thank you for your help.
 
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