Solving Inclined Plane Problem: Object Stopping Distance with Friction

In summary, the problem involves an object with a mass of 10.0kg on a frictionless inclined plane, released from rest at the top and stopping at a distance d from the bottom. The coefficient of kinetic friction for the horizontal surface is 0.400. The solution involves using the law of conservation of energy and drawing a diagram for the initial and final positions of the object.
  • #1
isohelp
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Homework Statement



An Object with a mass of 10.0kg is at rest at the top of a frictionless inclined plane of length 8.00m and an angle of inclination 30.0 with the horizontal. The object is released from this position and it stops at a distance d from the bottom of the inclined plane along a horizontal surface. The coefficient of kinetic friction for the horizontal surface is 0.400. At what horizontal distance from the bottom of the inclined plane will this object stop?

Homework Equations





The Attempt at a Solution

 
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  • #2
I have a final tomorrow and I can't figure these out :(
 
  • #3
isohelp said:
I have a final tomorrow and I can't figure these out :(

Draw the diagram for initial and final position for the object. Use law of conservation of energy at the top and distace d from the bottom.
 

Related to Solving Inclined Plane Problem: Object Stopping Distance with Friction

What is an inclined plane?

An inclined plane is a simple machine that consists of a flat surface that is tilted or angled. It allows for objects to be moved from a lower point to a higher point with less force.

How does an inclined plane work?

An inclined plane works by reducing the amount of force needed to move an object vertically by increasing the distance over which the force is applied. This is known as mechanical advantage.

What are some real-life examples of inclined planes?

Some common examples of inclined planes include ramps, stairs, slides, and even escalators. They are also used in construction and transportation, such as roads and highways.

What are the advantages of using an inclined plane?

The main advantage of using an inclined plane is that it reduces the amount of force needed to lift an object. This makes it easier to move heavy objects or objects that would be difficult to lift vertically.

Can an inclined plane be used to lift objects vertically?

Yes, an inclined plane can be used to lift objects vertically. However, it will require more distance to be covered in order to achieve the same height as a straight vertical lift. This is due to the trade-off between force and distance in the mechanical advantage of an inclined plane.

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