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 displacement of the spring from its equilibrium position, expressed as F = kx, where F is the force, k is the spring constant, and x is the displacement.

Front

What is the formula to calculate 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 displacement of the spring.

Front

If a spring has a spring constant of 200 N/m and is compressed by 0.5 m, what is the force exerted by the spring?

Back

F = kx = 200 N/m * 0.5 m = 100 N.

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 displacement compared to a spring with a lower spring constant.

Front

How do you determine the stiffness of a spring from a force-displacement graph?

Back

The stiffness of a spring can be determined from the slope of the force-displacement graph; a steeper slope indicates a stiffer spring.

Front

What is the unit of spring constant (k)?

Back

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

Front

If a spring is stretched by 0.1 m and the force applied is 300 N, what is the spring constant?

Back

k = F/x = 300 N / 0.1 m = 3000 N/m.

Front

What is the relationship between force, spring constant, and displacement in Hooke's Law?

Back

The relationship is linear; as the displacement increases, the force increases proportionally, provided the spring is not beyond its elastic limit.

Front

What happens to a spring when it is compressed beyond its elastic limit?

Back

When a spring is compressed beyond its elastic limit, it may become permanently deformed and will not return to its original shape.

Front

What is the significance of the equilibrium position of a spring?

Back

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