# If the length of a #45 cm# spring increases to #86 cm# when a #1 kg# weight is hanging from it, what is the spring's constant?

##### 1 Answer

May 5, 2018

Approximately

#### Explanation:

Well, it looks to me that the spring will increase in length towards the direction of the weight hanging from it, so Hooke's law here will be:

#F# is the force exerted in newtons

#k# is the spring constant

#x# is the extension of the spring

The force here is the object's weight, which is

Therefore, the spring constant is: