Hooke's Law Flashcard

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.

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 of the spring.

Front

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

Back

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

Front

If a spring has a spring constant of 20 N/m, what force is required to stretch it by 0.5 m?

Back

Using Hooke's Law, F = kx, the force required is F = 20 N/m * 0.5 m = 10 N.

Front

What is the unit of spring constant (k)?

Back

The unit of spring constant (k) is 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 comparing the spring constants; a higher spring constant indicates a stiffer spring.

Front

Calculate the spring constant if a spring is stretched by 0.1 m with a force of 2 N.

Back

Using the formula k = F/x, k = 2 N / 0.1 m = 20 N/m.

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 significance of the elastic limit in Hooke's Law?

Back

The elastic limit is the maximum extent to which a material can be deformed elastically (i.e., it can return to its original shape) without undergoing permanent deformation.

Front

If a spring requires a force of 4000 N to stretch it by 9.0 m, what is its spring constant?

Back

Using k = F/x, k = 4000 N / 9.0 m = 444.44 N/m.