Displacement and the Spring Force (Fs) - 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.

Front

What is the unit of spring constant?

Back

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

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

Using Hooke's Law, F = kx = 200 N/m * 0.5 m = 100 N.

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 displacement.

Front

If a spring is stretched by 0.3 m with a force of 150 N, what is the spring constant?

Back

Using the formula k = F/x, k = 150 N / 0.3 m = 500 N/m.

Front

What happens to the spring force when the displacement is doubled?

Back

According to Hooke's Law, if the displacement is doubled, the spring force also doubles, assuming the spring constant remains the same.

Front

A spring is compressed by 0.2 m and the spring constant is 250 N/m. What is the force exerted by the spring?

Back

F = kx = 250 N/m * 0.2 m = 50 N.

Front

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

Back

The relationship is linear; as the displacement increases, the force exerted by the spring increases proportionally.

Front

If a spring has a spring constant of 100 N/m and a force of 400 N is applied, how much does the spring stretch?

Back

Using the formula x = F/k, x = 400 N / 100 N/m = 4 m.