Question

test content
question 1
6 points
how does the force the spring exerts change with displacement?
a always in the opposite direction with respect to the displacement
b always same direction as the displacement
c when compressed it is the same direction as displacement, when extended it is in the opposite direction as displacement
d when extended it is the same direction as displacement, when compressed it is in the opposite direction as displacement
e force is unrelated to displacement

Explanation:

According to Hooke's Law, the force exerted by a spring \( F = -kx \), where \( k \) is the spring constant and \( x \) is the displacement from the equilibrium position. The negative sign indicates that the force exerted by the spring is always in the opposite direction of the displacement. For example, if a spring is stretched (positive displacement), the spring force acts to pull it back (negative direction relative to the displacement). If it is compressed (negative displacement), the spring force acts to push it back (positive direction relative to the displacement). So the force is always opposite to the displacement direction.

Answer:

A. always in the opposite direction with respect to the displacement