Help with incline plane question.

In summary, the problem involves an air cart moving a distance of 20m in 4 seconds on an inclined track with two support legs that are 20m apart and one elevated to a height of 15m. The task is to compute the observed acceleration due to gravity using standard equations and the positions of the support legs.
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thelmes
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Homework Statement


An Air Cart of mass m=10kg starts from rest on an inclined air track. It subsequently moves a distance of d=20m in a time t=4 sec along the track. There are two support legs that are a distance L= 20m apart. One of the legs is elevated to a height h=15m above the other. Compute the observed acceleration due to gravity



Homework Equations



I have no clue how to do this at all please help.

The Attempt at a Solution


 
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1. How does an inclined plane work?

An inclined plane is a simple machine that reduces the amount of force needed to lift an object by increasing the distance over which the force is applied. It is a flat surface that is tilted at an angle, allowing an object to be moved along it with less effort.

2. What is the formula for calculating the mechanical advantage of an inclined plane?

The mechanical advantage of an inclined plane is calculated by dividing the length of the incline by the height of the incline, or MA = length/height. This formula represents the ratio of the input force to the output force.

3. How does the angle of the incline affect the effort needed to move an object?

The steeper the incline, the less effort is needed to move an object. This is because a steeper incline increases the distance over which the force is applied, reducing the amount of force needed. However, the trade-off is that the object will have to travel a longer distance.

4. How does friction affect the efficiency of an inclined plane?

Friction has a negative effect on the efficiency of an inclined plane. As an object slides down an inclined plane, it experiences frictional forces that oppose its motion, making it harder to move. This results in a decrease in the mechanical advantage of the inclined plane.

5. What are some real-world examples of inclined planes?

Inclined planes are used in many everyday objects, such as ramps for wheelchairs, stairs, and roads. They are also used in machines, such as conveyor belts, escalators, and car ramps. Inclined planes are also commonly used in construction, for example, when building a ramp to move heavy objects up and down a building.

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