Understanding Hooke's Law Concepts

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, represented mathematically as F = -kx, where F is the force, k is the spring constant, and x is the displacement from the equilibrium position.

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 from its equilibrium position.

Front

If a spring has a spring constant of 200 N/m and is compressed by 0.1 m, what is the force exerted by the spring?

Back

20 N

Front

A force of 30 N compresses a spring by 0.15 m. What is the spring constant?

Back

200 N/m

Front

What happens to the force exerted by a spring if the displacement is doubled?

Back

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

Front

What is the unit of spring constant (k)?

Back

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

Front

A spring stretches 0.2 meters when a force of 10 N is applied. What is the spring constant?

Back

50 N/m

Front

How much will a spring with a spring constant of 150 N/m compress when a 75 N weight is placed on it?

Back

0.5 m

Front

Which of the following is an application of Hooke's Law?

Back

Determining the force needed to compress a spring in a car suspension system.

Front

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

Back

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