2.2a Hooke's Law Flashcards
State Hooke’s Law
Fs=kx
Fs stands for
force applied on the spring
k stands for
spring constant
x stands for
elongation or compression
Fr stands for
the restoring force
The units of Fs are
N
The units of k are
N/m
The units of x are
m
The units of Fr are
N
the spring constant is
the amount of force required to stretch or compress a spring 1m
The force applied is
the amount of force used on a spring to stretch or compress it
The Fris
the amount of force the spring provides to resist the applied force
The elongation of a spring
is the change in length of a spring when lengthened under an applied force. It should NOT be confused with the length of the spring.
The compression of a spring is
the change in length of a spring when the spring shortens under an applied force. It should NOT be confused with the length of the spring.
The gradient of an elongation vs Force Applied graph is
equal to the spring constant, k
What is the relationship between Fr and Fs?
They are equal in magnitude and opposite in direction whenever the spring is stationary or moving at a constant speed.
What is the name of the mathematical relationship between the restoring force of a spring and the elongation of the spring?
direct relationship
What measuring device is based upon Hooke’s Law?
the spring scale
What is the main difference of Spring B compared to Spring A shown in the graph below.

- Spring B is a weaker spring.
- Spring B has a smaller spring constant.
- Spring B requires less force to stretch it the same distance as Spring A
Fs=kx is known as what law?
Hooke’s Law
State the symbol/variable for force applied on the spring
Fs
State the symbol/variable spring constant
k
State the symbol/variable elongation or compression
x
N is the unit of what quantities?
F, Fs and Fr
N/m is the unit of what quantity?
k
m is the unit of what quantity?
x
The amount of force required to stretch or compress the spring 1m is called
the spring constant
The amount of force used on a spring to stretch or compress it is called
The force applied
The restoring force is denoted by what variable?
Fr
N is the unit of what quantity(ies)?
F, Fs, Fr
How can the spring constant, k be found on an F vs x graph?
The gradient
What quantities are equal in magnitude and opposite in direction whenever the spring is stationary or moving at a constant speed?
Fr and Fs?
A direct relationship has what properties?
- straight line
- constant slope
- passes through the origin, (0,0)
This quantity is the change in length of a spring. It should NOT be confused with the length of the spring.
The elongation or compression of a spring
What quantity is the amount of force the spring provides to resist the applied force?
Fr
The spring scale is a tool designed to measure what quantity?
Force
- Spring B is a weaker spring.
- Spring B has a smaller spring constant.
- Spring B requires less force to stretch it the same distance as Spring A
What would be true of the elongation vs Force applied graphs of springs A and B
B would have a smaller gradient (less steep)
