1.THE FRICTION BETWEEN A BOX AND GROUND IS 70 N.WILL THE BOX MOVE IF A MAN PUSHES THE BOX WITH A FORCE OF 60 N ?

No. To move the box, the applied force should overcome the friction force i.e. applied force should be greater than friction force.

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No the box will not move because u'll need to apply a force greater than the net wt of the object
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