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Indicate the ideal mechanical advantage for the following machine:

an inclined plane from the ground to the back of a moving truck. The height of the inclined plane where it meets the truck is 2 meters. The length of the inclined plane is 10 meters?

1 Answer

5 votes

Final answer:

The ideal mechanical advantage (IMA) of an inclined plane that is 10 meters long and 2 meters high is 5. This indicates that the force needed to raise an object using this plane should be 1/5 of the object's weight, assuming a frictionless scenario.

Step-by-step explanation:

The ideal mechanical advantage (IMA) of an inclined plane can be calculated by dividing the length of the inclined plane by the height at which the plane meets the opposing edge. In the case of the inclined plane from the ground to the back of a moving truck, with a height of 2 meters and a length of 10 meters, the IMA is computed as follows:

IMA = Length of Inclined Plane / Height
IMA = 10 meters / 2 meters
IMA = 5

This means that the ideal mechanical advantage of this inclined plane is 5, indicating that the force needed to raise an object using this inclined plane should ideally be 1/5 of the object's weight, assuming no energy is lost to friction.

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