A block–spring system obeys Hooke’s law with spring constant

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

k=50\,\text{N m}^{-1}

. If the block is displaced

3\,\text{cm}

and

5\,\text{cm}

from equilibrium in two separate trials, the ratio of the magnitudes of the restoring forces

|F_{3\,\text{cm}}| : |F_{5\,\text{cm}}|

is (a)

\dfrac{5}{3}

(b)

1

(c)

\dfrac{3}{5}

(d)

\dfrac{9}{25}