Displacement and the Spring Force (Fs) - Hooke's Law

Front

What does Hooke's Law state?

Back

Hooke's Law states that the force (F) exerted by a spring is directly proportional to the extension (x) of the spring, expressed as F = kx, where k is the spring constant.

Front

What is the formula for calculating the spring constant (k)?

Back

The spring constant (k) can be calculated using the formula k = F/x, where F is the force applied and x is the extension of the spring.

Front

What is the unit of spring constant?

Back

The unit of spring constant is Newton per meter (N/m).

Front

If a spring has a spring constant of 20 N/m, what force is required to extend it by 1 meter?

Back

The force required is 20 N (using F = kx, where k = 20 N/m and x = 1 m).

Front

What type of materials does Hooke's Law apply to?

Back

Hooke's Law applies to elastic materials, which return to their original shape after the force is removed.

Front

If a force of 500 N is applied to a spring with a spring constant of 500 N/m, what is the extension of the spring?

Back

The extension of the spring is 1 m (using F = kx, rearranged to x = F/k).

Front

What is the relationship between force and extension in Hooke's Law?

Back

The relationship is linear; as the force increases, the extension of the spring increases proportionally.

Front

What happens to a spring if the force applied exceeds its elastic limit?

Back

If the force exceeds the elastic limit, the spring will not return to its original shape and may become permanently deformed.

Front

How can you determine the spring constant from a force-extension graph?

Back

The spring constant can be determined from the slope of the linear portion of a force-extension graph.

Front

What is the significance of the spring constant (k)?

Back

The spring constant (k) indicates the stiffness of the spring; a higher k value means a stiffer spring.