Question

The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached the

spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
m
10
10
S.
m
3
0 m
ma
30

Answer 1

We have been given that the length (s) of a spring varies directly with me mass (m) of an object. We are asked to find the equation that represents the relation, when a 30-gram object is attached the spring stretches 9 centimeters.

We know that two directly proportional quantities are in form
`y=kx`, where y is directly proportional to x and k is constant of proportionality.

Let us find constant of proportionality for our relation.

`s=k\cdot m`

`9=k\cdot 30`

`(9)/(30)=(k\cdot 30)/(30)`

`(3)/(10)=k`

`0.3=k`

Therefore, our required equation would be
`s=0.30m`.