10 Newton object is placed 3 meters from the fulcrum. At what distance on the other side would you need to place a 15 Newton object to balance the lever? Show Your Work!

Respuesta :

On a fulcrum balance we know that object will be balanced if torque on left side weight is balanced by torque on right side weight

So we know that

(weight of left side) * (distance) = weight of right side) * (distance)

[tex]W_1L_1 = W_2L_2[/tex]

[tex]10 \times 3 = 15 \times r[/tex]

[tex]r = \frac{30}{15}[/tex]

[tex]r = 2 m[/tex]

so the distance of 15 N object must be at 2 m distance from fulcrum