Calculating force for constant speed: Blocks with friction and a pulley

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The discussion focuses on calculating the force required to drag Block B to the left at a constant speed while considering the effects of friction. Block A weighs 3.60 N and Block B weighs 5.40 N, with a coefficient of kinetic friction of 0.25. The total weight acting on the system is 9.0 N, leading to a friction force calculation of 2.25 N, derived from the friction forces acting on both blocks. The key takeaway is that at constant velocity, the net force is zero, confirming that the applied force must equal the total friction force opposing the motion.

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Block A is on top of Block B. They are connected by a light, flexible cord passing through a fixed, frictionless pulley. Block A weighs 3.60 N and block B weighs 5.40 N. The coefficient of kinetic friction between all surfaces is 0.25. Find the magnitude of the force F necessary to drag Block B to the left at a constant speed.
Ok so the key here is constant speed. So that means [tex]F = 0[/tex]. So all forces must be equal and opposite one another in the same direction. Since [tex]w_{total} = 9.0 N[/tex] does that mean that the force required is [tex]f_{k} = \mu_{k}N = 0.25(9.0 N) = 2.5 N[/tex]?
Thanks
 
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You have part of the answer.

Block A is on top of block B, and they are connected by a pulley. If B moves left, A moves right, and the friction force of A's motion resists B's motion.

Block B is on a surface, also with [itex]\mu[/itex] = 0.25, but the downward force arises from the masses of A and B.

Now at constant velocity, there is not acceleration, so the net force F = 0, so F = Friction force of block A on B + Friction force of block B on the surface underneath.
 
so it would be [tex]0.25(3.6 N) + 0.25(5.40 N) = 2.25 N[/tex]. I forgot the fact that when you pull on block A, block B goes in the opposite direction.

Thanks
 

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