Incline slope with friction

In summary, to find the minimum force the tractor must exert on the sled, you must draw a freebody diagram and resolve the force of gravity along coordinate axes parallel and perpendicular to the slope. This will allow you to determine the force along the slope that needs to be counteracted by friction.
  • #1
Richard1864
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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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  • #2
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.
 

1. What is "incline slope with friction"?

Incline slope with friction refers to a physics concept where an object, such as a block, is placed on an inclined plane and is subject to the force of friction as it moves down the slope. This force of friction acts in the opposite direction of the object's motion and can affect its acceleration and velocity.

2. How does the angle of the incline affect the object's motion?

The steeper the incline, the greater the force of gravity acting on the object. This can result in a faster acceleration and higher velocity. However, as the angle of the incline increases, so does the force of friction, which can counteract the object's motion.

3. What is the relationship between the coefficient of friction and the object's weight?

The coefficient of friction is a measure of how rough or smooth the surface of the incline is. The higher the coefficient of friction, the stronger the force of friction acting on the object. This means that a heavier object will experience a greater force of friction than a lighter object on the same incline with the same coefficient of friction.

4. How does mass affect the object's motion on an incline slope with friction?

The mass of an object does not directly affect its motion on an incline slope with friction. However, a heavier object will experience a greater force of friction, which can affect its acceleration and velocity. Additionally, the object's mass will affect the force of gravity acting on it, which can also impact its motion.

5. What is the formula for calculating the net force on an object on an incline slope with friction?

The net force on an object on an incline slope with friction can be calculated using the formula Fnet = mgsinθ - μmgcosθ, where m is the mass of the object, g is the acceleration due to gravity, θ is the angle of the incline, and μ is the coefficient of friction. This formula takes into account the forces of gravity and friction acting on the object.

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