Find the total length of the lever?

Question

A 40kg object needs to be lifted, using a force of 20N. The length of the lever from the pivot point to the object is 0.65m. Find the total length of the lever?

Answer 1

1 [kgf] = 10 [N]

40 [kgf] = 400 [N]

Leverage is proportional to lengths involved on both sides of the pivot point...

in this case:

20 [N] has to "balance" 400 [N]

20 to 400 equals 1 to 20

1 : 20 = 0.65 : x  eq  x = 20*0.65 = 13.00 [m]

Total length: 13.00 + 0.65 = 13.65 [m]

Good luck.