5470: Hooke's Law & Springs

Front

What is Hooke's Law?

Back

Hooke's Law states that the force exerted by a spring is directly proportional to its elongation or compression, provided the elastic limit is not exceeded. It can be expressed as F = -kx, where F is the force, k is the spring constant, and x is the displacement from the equilibrium position.

Front

What does the spring constant (k) indicate?

Back

The spring constant (k) indicates the stiffness of a spring. A larger spring constant means a stiffer spring that requires more force to stretch or compress.

Front

What happens to a spring when it exceeds its elastic limit?

Back

When a spring exceeds its elastic limit, it will not return to its original shape after the force is removed, leading to permanent deformation.

Front

What is the equilibrium position of a spring?

Back

The equilibrium position of a spring is the point at which the spring is neither stretched nor compressed, and the net force acting on it is zero.

Front

How does potential energy relate to a spring?

Back

The potential energy stored in a spring when it is stretched or compressed is given by the formula PE = 1/2 kx², where k is the spring constant and x is the displacement from the equilibrium position.

Front

What is the relationship between kinetic energy and potential energy in a spring system?

Back

In a spring system, kinetic energy is maximized when the spring passes through the equilibrium position, while potential energy is maximized at the maximum stretch or compression.

Front

What is the significance of points B and C in a spring's motion?

Back

Points B and C are significant because they are equidistant from the equilibrium position, indicating that the spring has the same potential energy at both points.

Front

What occurs to the spring constant as a spring is stretched?

Back

The spring constant remains roughly constant as long as the spring is not stretched beyond its elastic limit.

Front

What is the formula for calculating the force exerted by a spring?

Back

The formula for calculating the force exerted by a spring is F = -kx, where F is the force, k is the spring constant, and x is the displacement from the equilibrium position.

Front

What is the effect of a larger spring constant on the force required to stretch a spring?

Back

A larger spring constant means that more force is required to stretch or compress the spring by a given amount.