Tension in Room: Find Force of Friction

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To find the tension in the rope pulling a 20kg cart at a constant speed on a horizontal surface, the forces acting on the cart must be analyzed. The tension in the rope must counteract both the force of friction and the component of gravitational force acting down the incline. Given the coefficient of kinetic friction is 0.45, the frictional force can be calculated using the normal force. A step-by-step breakdown of the forces, including a visual representation, is recommended for clarity. The solution requires careful consideration of the forces involved to determine the tension accurately.
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Homework Statement


A cart loaded with books has a total mass of 20kg and is pulled at a constant speed by a rope inclined at 30 degrees above the horizontal. The cart moves a distance of 10m on a horizontal surface. The coefficient of kinetic friction between the cart and the surface is 0.45. Find the tension in the rope.

Homework Equations


F=ma

The Attempt at a Solution

 
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[h2 said:
The Attempt at a Solution[/h2]

Try drawing all the components of the forces.
 
I have I need a step by step breakdown.
 
Post a picture of your attempt. Even an MS Paint jpeg would do.
 

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