Answer:
The value is [tex]W = 450 \ N[/tex]
Explanation:
From the question we are told that
The force applied at the other end is [tex]F = 350 \ N[/tex]
The length of the lever is [tex]l = 3.2 \ m[/tex]
The distance from the fulcrum to the underside of a boulder is [tex]x_1 = 1.4 \ m[/tex]
The distance from the fulcrum to the point where the farmer applied the force is
[tex]x_2 = 3.2 - 1.4[/tex]
=> [tex]x_2 = 1.8 \ m[/tex]
Generally at equilibrium the net torque experienced by the lever is 0 and this is mathematically represented as
[tex]F * x_2 - W * x_1 = 0[/tex]
Here W is the maximum force applied to the boulder by the lever
So
[tex]F * x_2 - W * x_1 = 0[/tex]
=> [tex]350 * 1.8- W * 1.4 = 0[/tex]
=> [tex]W = 450 \ N[/tex]
