Hooke's law and elastic potential energy

Front

What does Hooke's Law state?

Back

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

Front

What is the unit of measurement for spring constant (k)?

Back

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

Front

How do you determine which spring is the stiffest?

Back

The stiffness of a spring can be determined by the spring constant (k). A higher spring constant indicates a stiffer spring.

Front

What happens when a material reaches its elastic limit?

Back

When a material reaches its elastic limit, it can no longer return to its original shape after the force is removed, leading to permanent deformation.

Front

Calculate the force required to compress a spring with a spring constant of 1900 N/m by 0.013 m.

Back

The force required is 24.7 N, calculated using F = kx.

Front

What is elastic potential energy?

Back

Elastic potential energy is the energy stored in a spring when it is compressed or stretched, calculated using the formula U = 1/2 kx².

Front

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

Back

In Hooke's Law, the relationship is linear; as the force increases, the extension of the spring also increases proportionally until the elastic limit is reached.

Front

What is the formula for calculating elastic potential energy in a spring?

Back

The formula for elastic potential energy (U) in a spring is U = 1/2 kx².

Front

If a spring has a spring constant of 4000 N/m and is stretched by 9.0 m, what is the force applied?

Back

The force applied is 36000 N, calculated using F = kx.

Front

What does a higher spring constant indicate about a spring?

Back

A higher spring constant indicates that the spring is stiffer and requires more force to achieve the same extension compared to a spring with a lower spring constant.