Robert invented a machine that would do his work for him. His machine used 5.6 N and produced 11 N. Whatis the mechanical advantage of this machine?

1. Break Down the Problem

To find the mechanical advantage (MA) of the machine, we need to use the formula for mechanical advantage, which is given by:

$\text{MA} = \frac{\text{Output Force}}{\text{Input Force}}$

Where:

• Output Force (Load) = 11 N
• Input Force (Effort) = 5.6 N

2. Relevant Concepts

The mechanical advantage tells us how much a machine amplifies the force applied to it. A MA greater than 1 indicates the machine increases the applied force.

3. Analysis and Detail

Now we will substitute the values into the formula:

$\text{MA} = \frac{11 \, \text{N}}{5.6 \, \text{N}}$

4. Verify and Summarize

Calculating the mechanical advantage:

$\text{MA} = \frac{11}{5.6} \approx 1.9643$

Summarizing the result, the mechanical advantage of Robert's machine is approximately 1.96.

Final Answer

The mechanical advantage of the machine is approximately 1.96.