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Mechanical advantage (MA) is a measure of how much a machine multiplies the input force applied to it in order to produce work. Mechanical advantage can be calculated by using the formula shown below.

[tex]\[ \text{MA} = \frac{\text{output force}}{\text{input force}} \][/tex]

A crate required 900 newtons (N) of force to lift. The crate was lifted by a forklift with an engine that provided 225 N of force.

What is the mechanical advantage of the forklift?

A. [tex]\( 0.25 \)[/tex]

B. [tex]\( 4 \)[/tex]

C. [tex]\( 1,125 \)[/tex]

D. [tex]\( 202,500 \)[/tex]


Sagot :

To determine the mechanical advantage (MA) of the forklift, we will use the given formula:
[tex]\[ \text{MA} = \frac{\text{output force}}{\text{input force}} \][/tex]

Here, we are given:
- The output force is 900 newtons (N).
- The input force is 225 newtons (N).

Substituting the given values into the formula, we have:
[tex]\[ \text{MA} = \frac{900 \, N}{225 \, N} \][/tex]

We can simplify this ratio:
[tex]\[ \text{MA} = 4 \][/tex]

Thus, the mechanical advantage of the forklift is:

B. [tex]\( 4 \)[/tex]