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) Responses

A. 0.05 m
B. 3.2 m
C. 7.6 m
D. 8.4 m

The mechanical advantage (MA) of a lever is given by the ratio of the load arm to the effort arm.

MA = Load arm / Effort arm

We are given that the load arm is 0.4 meters and the desired mechanical advantage is 8. Therefore,

8 = 0.4 / Effort arm

To solve for the effort arm, we can rearrange the equation:

Effort arm = 0.4 / 8

Effort arm = 0.05 meters

Therefore, the correct answer is A. 0.05 m.