An inclined plane is 10.0 m long and 2.50 m high. (a) Find its mechanical advantage. (b) A res

step 1 Solving party of this problem. So here I will use the formula MA inclined plane M a inclined pla

An inclined plane is 10.0 m long and 2.50 m high. (a) Find...

An inclined plane is $10.0 \mathrm{~m}$ long and $2.50 \mathrm{~m}$ high. (a) Find its mechanical advantage. (b) A resistance of $727 \mathrm{~N}$ is pushed up the plane. What effort is needed? (c) An effort of $20 \overline{0} \mathrm{~N}$ is applied to push an $815-\mathrm{N}$ resistance up the inclined plane. Is the effort enough?

An inclined plane is $10.0 \mathrm{~m}$ long and $2.50 \mathrm{~m}$ high. (a) Find its mechanical advantage. (b) A resistance of $727 \mathrm{~N}$ is pushed up the plane. What effort is needed?
(c) An effort of $20 \overline{0} \mathrm{~N}$ is applied to push an $815-\mathrm{N}$ resistance up the inclined plane. Is the effort enough?

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Key Concepts

Inclined Plane

An inclined plane is a type of simple machine consisting of a flat surface set at an angle relative to the horizontal. It is used to move heavy loads vertically with less effort by increasing the distance over which the force is applied, thereby reducing the required input force compared to lifting directly upward.

Mechanical Advantage

Mechanical advantage (MA) is a measure of how much a machine multiplies an input force to produce a greater output force. For an ideal, frictionless machine like an inclined plane, the MA is calculated as the ratio of the length of the incline to the vertical height. This ratio shows the trade-off between force and distance, indicating that a longer path reduces the necessary force to raise the load.

Applied Force versus Resistance

This concept deals with comparing the required force to overcome a resisting load with the actual applied force. In the context of simple machines and inclined planes, the applied (or effort) force is determined by dividing the load or resistance by the mechanical advantage, and this relationship helps decide if the given effort is sufficient to move the load.

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