Hooke's Law

Front

What is Hooke's Law?

Back

Hooke's Law states that the force exerted by a spring is directly proportional to the amount it is stretched or compressed, as long as the elastic limit is not exceeded. This can be expressed as F = kx, where F is the force, k is the spring constant, and x is the extension or compression.

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 to the spring and x is the extension or compression of the spring.

Front

What units are used to measure the spring constant?

Back

The spring constant is measured in Newtons per meter (N/m).

Front

If a spring is stretched by 10 cm with a force of 20 N, what is the spring constant?

Back

k = F/x = 20 N / 0.1 m = 200 N/m.

Front

What does a high spring constant indicate about a material?

Back

A high spring constant indicates that the material is stiff and requires a large force to produce a small extension.

Front

What does a low spring constant indicate about a material?

Back

A low spring constant indicates that the material is flexible and requires a small force to produce a large extension.

Front

How do you calculate the total spring constant for springs in series?

Back

For springs in series, the total spring constant (k_total) is given by 1/k_total = 1/k1 + 1/k2 + ... + 1/kn.

Front

How do you calculate the total spring constant for springs in parallel?

Back

For springs in parallel, the total spring constant (k_total) is given by k_total = k1 + k2 + ... + kn.

Front

What is the relationship between force and extension in a spring?

Back

The relationship is linear, meaning that as the force increases, the extension also increases proportionally, as described by Hooke's Law.

Front

What happens if a spring is stretched beyond its elastic limit?

Back

If a spring is stretched beyond its elastic limit, it will not return to its original length and may become permanently deformed.