meganknott121
Answered

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If the IMA of a machine is 4 and the effort force is 6.0 newtons, then the force exerted on the resistance by the machine is:

A. [tex]$10 N$[/tex]
B. [tex]$2.0 N$[/tex]
C. [tex]$24 N$[/tex]
D. [tex]$1.5 N$[/tex]

Sagot :

GinnyAnswer
To determine the force exerted on the resistance by the machine, we need to use the concept of Ideal Mechanical Advantage (IMA). The IMA of a machine is defined by the ratio of the resistance force to the effort force. Mathematically, it can be expressed as:

[tex]\[ \text{IMA} = \frac{\text{resistance force}}{\text{effort force}} \][/tex]

Given the following values:
- IMA = 4
- Effort force = 6.0 newtons

We need to find the resistance force. We can rearrange the formula to solve for the resistance force as:

[tex]\[ \text{resistance force} = \text{IMA} \times \text{effort force} \][/tex]

Substituting the given values into the formula:

[tex]\[ \text{resistance force} = 4 \times 6.0 \][/tex]

[tex]\[ \text{resistance force} = 24.0 \, \text{newtons} \][/tex]

Therefore, the force exerted on the resistance by the machine is [tex]\(24 \, \text{newtons}\)[/tex].

So, the correct answer is:

[tex]\[ \boxed{24 \, \text{N}} \][/tex]
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