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?
3
O S =
m
x
о
S =
10
3 m
3
O m= 10
Om =
30$
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Answer 1

s = 0.3m

Explanation:

Given that s varies directly with m then the equation relating them is

s = km ← k is the constant of variation

To find k use the condition

s = 9 when m = 30

9 = 30k ( divide both sides by 30 )

`(9)/(30)` = k

s =
`(9)/(30)` m or

s = 0.3m ← equation of variation