How many meters from the fulcrum to the applied force would allow a 100 newton weight to be lifted using only 10 newton of force?

10

The product of distance x mass on both sides of the fulcrum must be the same, so

100d1 = 10d2
10d1 = d2

20

To determine the distance from the fulcrum to the applied force required to lift the 100 Newton weight using only 10 Newton of force, we can use the concept of mechanical advantage.

The mechanical advantage of a lever is calculated by dividing the distance from the fulcrum to the applied force (effort distance) by the distance from the fulcrum to the weight (load distance). In this case, the mechanical advantage is given as 100 Newton (weight)/10 Newton (force) = 10.

The mechanical advantage tells us that for every 1 unit of force applied (10 Newton of force), the lever can lift or balance a weight 10 times as heavy (100 Newton weight). So, we can set up the equation:

Mechanical Advantage = Effort Distance / Load Distance

10 = Effort Distance / Load Distance

We can rearrange this equation to solve for the Load Distance:

Load Distance = Effort Distance / Mechanical Advantage

Using the given Effort Distance of 10 Newton, we can substitute it into the equation:

Load Distance = 10 Newton / 10

Load Distance = 1 meter

Therefore, to lift the 100 Newton weight using only 10 Newton of force, the distance from the fulcrum to the applied force should be 1 meter.