# Same old block on the floor problem

A block of mass $$m$$ is placed on a rough horizontal floor at position $$A$$. This block is to be moved to position $$B$$ under the application of a force of constant magnitude $$F$$, acting on the block. Find the minimum time (in seconds) for which this force should act on the block so that it just reaches $$B$$. Round your answer to the nearest integer.

Details and Assumptions

• Consider the block as a point object and it is always in contact with the floor.
• $$m=5 \text{ kg}$$, $$F=100 \text{ N}$$, $$\overline{AB}=l=1900 \text{ m}$$.
• Acceleration due to gravity: $$g=10\text{ m/s}^{2}$$.
• Coefficient of friction: $$\mu = 0.5$$.
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