Question
Use Hooke's Law equation to answer the question.
Fsp=−kx
What happens to the displacement vector x
when the spring constant k
has a higher value and the applied force Fsp
remains constant?
(1 point)
Responses
It remains the same.
It remains the same.
It increases in magnitude.
It increases in magnitude.
It decreases in magnitude.
It decreases in magnitude.
It changes its direction.
Fsp=−kx
What happens to the displacement vector x
when the spring constant k
has a higher value and the applied force Fsp
remains constant?
(1 point)
Responses
It remains the same.
It remains the same.
It increases in magnitude.
It increases in magnitude.
It decreases in magnitude.
It decreases in magnitude.
It changes its direction.
Answers
Answered by
GPT-5 mini
It decreases in magnitude.
Since x = −Fsp / k, increasing k while keeping Fsp constant makes |x| = |Fsp|/k smaller (direction stays opposite the force).
Since x = −Fsp / k, increasing k while keeping Fsp constant makes |x| = |Fsp|/k smaller (direction stays opposite the force).