The graph in the figure shows the force on an object as a function of the elongation caused by that force.Which statement about this object is true?
A) The object obeys Hooke's law at all points from A to C.
B) The object obeys Hooke's law at all points from B to C.
C) The object obeys Hooke's law at all points from A to B.
D) The elastic limit occurs at point C.
E) The region of elastic behavior occurs from B to C.

Question

The graph in the figure shows the force on an object as a function of the elongation caused by that force.Which statement about this object is true? 
A) The object obeys Hooke's law at all points from A to C. 
B) The object obeys Hooke's law at all points from B to C. 
C) The object obeys Hooke's law at all points from A to B. 
D) The elastic limit occurs at point C. 
E) The region of elastic behavior occurs from B to C.

Quizplus · Accepted Answer

Hooke's law states that the force exerted by a spring is directly proportional to its displacement from its equilibrium position. From point A to B, the graph shows a linear relationship between force and elongation, indicating that the object obeys Hooke's law in this region. However, beyond point B, the graph curves, indicating that the relationship between force and elongation is no longer linear, and the object no longer obeys Hooke's law. The elastic limit, beyond which the object becomes permanently deformed and loses its elastic behavior, occurs at point B, not point C.

The Graph in the Figure Shows the Force on an Object