3. A slingshot consists of a light leather cup attached between two rubber
bands. If it takes a force of 32 N to stretch the bands 1.2 cm, what is the
equivalent spring constant of the two rubber bands?!

Respuesta :

The equivalent spring  constant is 2667 N/m

Explanation:

We can solve the problem by using Hooke's law, which states that:

[tex]F=kx[/tex]

where

F is the force applied to the rubber bands

k is the equivalent spring constant of the two rubber bands

x is their stretching

In this problem, we know that

F = 32 N is the force applied

x = 1.2 cm = 0.012 m is the stretching of the bands

Solving for k, we find the equivalent spring constant of the two rubber bands:

[tex]k=\frac{F}{x}=\frac{32}{0.012}=2667 N/m[/tex]

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