This means that more force is required per metre of extension compared to a less stiff spring
A spring with a larger spring constant needs more force per unit extension (it is stiffer)
The spring constant is also used in the equation for elastic potential energy
Tip: Remember the unit for the spring constant is Newtons per metres (N/m). This is commonly forgotten in exam questions
Example: A mass of 0.6 kg is suspended from a spring, where it extends by 2 cm. Calculate the spring constant of the spring.
Step 1: List the known quantities
Mass, m = 0.6 kg
Extension, e = 2 cmStep 2: Write down the relevant equation
k = F/eStep 3: Calculate the force
The force on the spring is the weight of the mass
g is Earth's gravitational field strength (9.8 N/kg)
W = mg = 0.6 × 9.8 = 5.88 NStep 4: Convert any units
The extension must be in metres
2 cm = 0.02 mStep 5: Substitute values into the equation
Tip: Make sure to always check which variables are on which axes to determine which line has a larger or smaller spring constant, as well as the units for calculations
Which of the statements is correct?
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