A force of 50 N is applied to the end of a lever, which is moved a certain distance. if the other end of the lever moves one-third as far, how much force is exerted?

Respuesta :

Answer:150 N

Explanation:

Given

Force applied at one end of lever is [tex]F_1=50\ N[/tex]

Distance moved is [tex]d_1=d[/tex]

Distance moved on other end is [tex]d_2=\frac{d}{3}[/tex]

work done by the force is given by

[tex]W=F\cdot d[/tex]

[tex]W=F_1\cdot d_1=F_2\cdot d_2[/tex]

[tex]F_2=\frac{d_1}{d_2}\cdot F_1[/tex]

[tex]F_2=\frac{3d}{d}\cdot 50[/tex]

[tex]F_2=150\ N[/tex]