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Ethan pushes a wooden box across a carpeted floor. Then he pushes the same box across a smooth marble floor. Why does Ethan find it easier to push the box on the marble floor than on the carpeted floor?

AThe box experience more friction on the carpeted floor
BThe box experience less friction on the carpet floor
CThe box experiences more applied force on the marble floor
DThe box experiences less normal force on the marble floor

Verified Answer :

mrb0217

Answer A is correct because the carpet usually enforces more friction. The marble carpet is smoother, thus there is less friction

skyluke89

Answer:

A. The box experiences more friction on the carpeted floor

Explanation:

Friction is the force that opposes the motion of an object when it slides along a surface. The magnitude of the friction is given by

\(F=\mu mg\)

where m is the mass of the object, g is the acceleration due to gravity, and \(\mu\) is the coefficient of friction, which depends on the type of material of the surface: the larger this coefficient, the stronger the friction, the more difficult is to push the box along the surface. Generally, a smooth surface has a lower coefficient of friction, while a rough surface has a larger coefficient of friction.

In this case, Ethan find it easier to push the box on the marble floor, because marble is smoother than the carpet and so friction is weaker, while for the carpeted floor the coefficient of friction is larger and so the friction is stronger, making it more difficult to push the box.

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