An 11-kilogram cart is pulled with a horizontal force at a constant velocity of 8.0 meters per second, as shown in the diagram. The force of friction between the cart and the floor is 12 newtons. What is the magnitude of the horizontal force?

The cart is in equilibrium since it's moving at a constant velocity. This means the net horizontal force on the cart is 0, so the frictional force and pulling force cancel one another. So the pulling force has magnitude 12 N, same as the frictional force.

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