Question

150 N force act on the 10 cm long spanner to open the nut. how much distance is required to open same nut with 60 N force.

Answer 1

Question #32543

150 N force act on the 10 cm long spanner to open the nut. how much distance is required to open same nut with 60 N force.

Solution:

According to the law of lever the moment of force in order to open the nut is constant

$$F _ {1} * L _ {1} = F _ {2} * L _ {2}$$

Let

$$F _ {1} = 1 5 0 N$$ $$L _ {1} = 1 0 c m$$ $$F _ {2} = 6 0 N$$ $$L _ {2} = ?$$

Then

$$L _ {2} = \frac {F _ {1} * L _ {1}}{F _ {2}}$$ $$L _ {2} = \frac {1 5 0 * 1 0}{6 0} = 2 5 c m$$

Answer: 25 cm.