What is the Ideal Mechanical Advantage (IMA) of an inclined plane that is 3.0 m long and rises 0.60 m?

What is the Ideal Mechanical Advantage (IMA) of an inclined plane that is 3.0 m long and rises 0.60 m?

• A. 1.5
• B. 3.0
• C. 5.0
• D. 10.0

Answer: (C)

To find the Ideal Mechanical Advantage (IMA) of an inclined plane, you can use the formula: \[ \text{IMA} = \frac{\text{length of the incline}}{\text{height of the incline}} \] In this case, the length of the inclined plane is 3.0 meters and the height it rises is 0.60 meters. Plugging these values into the formula gives: \[ \text{IMA} = \frac{3.0 \, \text{m}}{0.60 \, \text{m}} = 5.0 \] This calculation reveals that the IMA of the inclined plane is 5.0, which indicates that the inclined plane can help reduce the effort needed to lift an object by a factor of 5 compared to lifting it straight up. This means using the inclined plane is more efficient for raising loads, demonstrating how inclined planes work to make lifting easier.

To find the Ideal Mechanical Advantage (IMA) of an inclined plane, you can use the formula:

[ \text{IMA} = \frac{\text{length of the incline}}{\text{height of the incline}} ]

In this case, the length of the inclined plane is 3.0 meters and the height it rises is 0.60 meters. Plugging these values into the formula gives:

[ \text{IMA} = \frac{3.0 , \text{m}}{0.60 , \text{m}} = 5.0 ]

This calculation reveals that the IMA of the inclined plane is 5.0, which indicates that the inclined plane can help reduce the effort needed to lift an object by a factor of 5 compared to lifting it straight up. This means using the inclined plane is more efficient for raising loads, demonstrating how inclined planes work to make lifting easier.