A spring with a force constant of 300 n/m is compressed 5 cm. What is the work done on the spring?
change the compression to meters.
EnergyInASpring= 1/2 k x^2
Work is the change in energy
To find the work done on the spring, you can use the formula:
Work = 0.5 * k * x^2
where k is the force constant of the spring and x is the displacement of the spring from its equilibrium position.
In this case, the force constant (k) is given as 300 N/m, and the displacement (x) is 5 cm. Before calculating, we need to convert the displacement to meters:
x = 5 cm = 0.05 m
Now, substitute the values into the formula:
Work = 0.5 * (300 N/m) * (0.05 m)^2
Work = 0.5 * 300 N/m * 0.0025 m^2
Work = 0.375 Nm = 0.375 J
Therefore, the work done on the spring is 0.375 Joules.