Question

Choose the SYSTEMS option.

3) If you are given the following two objects and apply 100 N of force to each
which of the two would you expect to stretch further?
one.
Object 1: k = 100 N/m
Object 2: k = 200 N/m

Answer 1

Object 1.

Step-by-step explanation:

Given that,

Force applied = 100 N

The spring constant of object 1 = 100 N/m

The spring constant of object 2 = 200 N/m

Using Hooke's law, we find the force applied on the object to stretch.

For object 1,

F₁ = k₁x₁

`x_1=(F_1)/(k_1)\\\\x_1=(100)/(100)\\\\=1\ m`

For object 2,

F₂ = k₂x₂

`x_2=(F_2)/(k_2)\\\\x_2=(100)/(200)\\=0.5\ m`

Object 1 stretches 1 m and object 2 stretches 0.5 m. Hence, object 1 stretches furthur.