Question

A mattress company advertises that its beds are unusually comfortable because it uses special springs that exert more force under the heavier parts of your body. Should this statement alone convince you to buy their product? Why or why not? (Hint: What does Hooke’s Law say about all springs?)

Answer 1

From Hooke's law for springs, the force is given as

here -ve sign indicates the force acts opposite to deformation of spring .

Also it indicates that the force depends on sping constant which indirectly depends on material used for spring.

Thus, the force also depends on the quality of material used for springs.

Apart from these, the springs will deform more at the heaviest parts of our body.

As a result, the spring will exert more force on heavier parts of the body.

Therefore, the force exerted will also depends on the quality of material.

Hence I am convinced with the statement and go for the purchase.