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? s = StartFraction 3 Over 10 EndFraction m s = StartFraction 10 Over 3 EndFraction m m = StartFraction 3 Over 10 EndFraction s m = StartFraction 1 Over 30 EndFraction s. ⇔ HELP

Step-by-step explanation:

Given

Mass = 30g

Spring Stretch = 9cm

Variation: Direct Variation

Required

Equation that relates the mass of the object, m, and the length of the spring, s

Let m represents mass and s represents length of the spring

Given that s varies directly to m;

This implies that

Convert the above to an equation

; where k is the constant of variation;

The next step is to solve for k

Divide both sides by m

From the given parameters;

when m = 30; s = 9.

Divide the numerator and denominator by 3

To get the equation that relates the mass of the object to the length of the spring

Substitute in

This becomes

Hence, the equation that relates the mass and length is

4038

step-by-step explanation:

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answer: 5

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