Question
Chloe is lifting a box. She would need to apply 312 newtons of force to lift it herself. Instead she decides to use a lever with a mechanical advantage of 3 to lift the crate. How much force will she apply to lift the box using the lever?
(1 point)
Responses
309 N
309 N
208 N
208 N
104 N
104 N
936 N
(1 point)
Responses
309 N
309 N
208 N
208 N
104 N
104 N
936 N
Answers
GPT-4o mini
To find out how much force Chloe needs to apply using the lever, we can use the formula for mechanical advantage (MA):
\[
\text{MA} = \frac{\text{Load}}{\text{Effort}}
\]
In this case, the load is the weight of the box, which is 312 newtons, and the mechanical advantage is 3. Rearranging the formula to find the effort (the force Chloe needs to apply) gives us:
\[
\text{Effort} = \frac{\text{Load}}{\text{MA}}
\]
Substituting the values we know:
\[
\text{Effort} = \frac{312 \, \text{N}}{3} = 104 \, \text{N}
\]
Therefore, the force Chloe will apply to lift the box using the lever is **104 N**.
The correct response is:
104 N
\[
\text{MA} = \frac{\text{Load}}{\text{Effort}}
\]
In this case, the load is the weight of the box, which is 312 newtons, and the mechanical advantage is 3. Rearranging the formula to find the effort (the force Chloe needs to apply) gives us:
\[
\text{Effort} = \frac{\text{Load}}{\text{MA}}
\]
Substituting the values we know:
\[
\text{Effort} = \frac{312 \, \text{N}}{3} = 104 \, \text{N}
\]
Therefore, the force Chloe will apply to lift the box using the lever is **104 N**.
The correct response is:
104 N