How Much Force Must a Tractor Exert to Pull a Sled Up a Hill with Friction?

AI Thread Summary
To determine the minimum force a tractor must exert to pull a 5000kg sled up a 30° hill at constant velocity, one must consider both the gravitational force acting on the sled and the frictional force of 10,000 N. A free body diagram is essential for resolving the gravitational force into components parallel and perpendicular to the slope. The force along the slope due to gravity must be calculated and then counteracted by the frictional force to find the total force required. By analyzing these forces, the necessary exertion by the tractor can be accurately determined. Understanding these dynamics is crucial for effective problem-solving in physics.
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A tractor pulls a 5000kg asked up a hill at a constant velocity. If the hill had a constant grade of 30° with respect to the horizontal and there is a 10,000 N frictional force between the sled and the ground, what is the minimum force the tractor must exert on the sled?

I think I'm supposed to tilt the axis. The Friction is already given so how do I find the force required?
 
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Draw a freebody diagram, resolving gravity along a set of coordinate axis parallel and perpendicular the the slope. This will give you the the force along the slope due to gravity, which needs to be counteracted by friction.
 
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