Question

the amount a spring stretches varies directly with the mass attached to the spring. the spring stretches 12cm when 8kg is attached. create an equation that represents the relationship.

Answer 1

Let stretch be represented by x
Let Mass be m
It's given the amount a spring stretches varies directly with the mass attached to the spring.
so
\[x=km\]
k = is a constant,
spring stretches 12 cm when 8kg is attached so. "Note that we have to be mindful of the units" Using right units is essential
\[12 cm=k \times 8 kg\]
so
\[k= 1.5 cm/kg\]
so
our equation is
\[x=1.5 cm/kg \times m\]