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A box of mass 12 kg is placed on the horizontal floor. The floor is not...

A box of mass 12 kg is placed on the horizontal floor. The floor is not frictionless. If someone pushes on to the box with a force F = 40 N which is directed at an angle of 37.0 o below the horizontal and the box slides along the floor. What is the normal force that the floor exerts on the box?

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Answer #1

We are pushing the box at an angle of 37 degrees below the horizontal, its vertical component that is perpendicular to the floor is

Therefore, the effective weight on the floor becomes

Now, as the block only slides along the floor, normal reaction should be equal to this weight. Hence,

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