If a lever has a mechanical advantage of 6, and the distance from the fulcrum to the load is .05m, how far is it from the fulcrum to the effort?

I think I'm supposed to use some sort of kinematics formula, but I'm really confused.

The distance to the effort point to the fulcrum is six times farther than the distance from the fulcrum to the load.

That comes from the definition of mechanical advantage, or
force ratio = lever arm length ratio

oh, thank you!

To find the distance from the fulcrum to the effort, you don't need to use kinematics formulas. Instead, you can use the formula for mechanical advantage for a lever, which is:

Mechanical Advantage (MA) = Load Arm / Effort Arm

In this case, the mechanical advantage is given as 6, and the distance from the fulcrum to the load (Load Arm) is 0.05m. Let's denote the distance from the fulcrum to the effort as "Effort Arm" (d).

Substituting the given values into the formula:

6 = 0.05 / d

To isolate "d," we can rearrange the equation:

d = 0.05 / 6

d ≈ 0.0083m

Therefore, the distance from the fulcrum to the effort is approximately 0.0083m.