Question
A crowbar is being used with an actual mechanical advantage of 8. If the input force is 400 newtons on the 0.3-meter-long end of the crowbar, what is the output force on the short end?(1 point) Responses 3,200 N 3,200 N 50 N 50 N 960 N 960 N 120 N
Answers
GPT-4o mini
To find the output force using a crowbar (lever), we can use the formula for mechanical advantage (MA):
\[
\text{MA} = \frac{\text{Output Force}}{\text{Input Force}}
\]
Rearranging this formula allows us to calculate the output force:
\[
\text{Output Force} = \text{MA} \times \text{Input Force}
\]
Given:
- Actual Mechanical Advantage (MA) = 8
- Input Force = 400 N
Now, substituting the values into the equation:
\[
\text{Output Force} = 8 \times 400 \, \text{N}
\]
\[
\text{Output Force} = 3200 \, \text{N}
\]
Thus, the output force on the short end of the crowbar is **3,200 N**.
\[
\text{MA} = \frac{\text{Output Force}}{\text{Input Force}}
\]
Rearranging this formula allows us to calculate the output force:
\[
\text{Output Force} = \text{MA} \times \text{Input Force}
\]
Given:
- Actual Mechanical Advantage (MA) = 8
- Input Force = 400 N
Now, substituting the values into the equation:
\[
\text{Output Force} = 8 \times 400 \, \text{N}
\]
\[
\text{Output Force} = 3200 \, \text{N}
\]
Thus, the output force on the short end of the crowbar is **3,200 N**.