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 7, how long should the effort arm be?(1 point)

Question

Responses

7.4 m
7.4 m

3.2 m
3.2 m

2.8 m
2.8 m

17.5 m

Answer 1

The mechanical advantage (MA) of a lever can be calculated using the formula:

\[ MA = \frac{\text{Effort Arm}}{\text{Load Arm}} \]

Here, we know the mechanical advantage (7) and the length of the load arm (0.4 meters). We can rearrange the formula to solve for the length of the effort arm:

\[ \text{Effort Arm} = MA \times \text{Load Arm} \]

Substituting the known values:

\[ \text{Effort Arm} = 7 \times 0.4, \text{m} = 2.8, \text{m} \]

Therefore, the length of the effort arm should be 2.8 meters.