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

Object 1.

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

For object 2,

F₂ = k₂x₂

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

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west