Samantha builds a lever to lift objects in a science experiment. The load arm is 0.4 meters. If she wants the lever to have a mechanical advantage of 8, how long should the effort arm be?(1 point)

Question

Responses

0.05 m
0.05 m

8.4 m
8.4 m

7.6 m
7.6 m

3.2 m
3.2 m

Answer 1

To find the length of the effort arm (EA) with a given mechanical advantage (MA) and load arm (LA), you can use the formula for mechanical advantage:

\[ MA = \frac{EA}{LA} \]

Given:

• MA = 8
• LA = 0.4 m

You can rearrange the formula to solve for EA:

\[ EA = MA \times LA \]

Substituting the known values:

\[ EA = 8 \times 0.4 , \text{m} = 3.2 , \text{m} \]

Therefore, the length of the effort arm should be 3.2 meters.