A spring of force constant 1500newton per.met re is being acted upon by a force of 75Newton calculate the potential energy in the spring

Answer 1

The potential energy stored in a spring is given by the formula:

Potential energy = 0.5 * k * x^2

Where:
k = force constant = 1500 N/m
x = displacement from equilibrium position
F = applied force = 75 N

First, we need to calculate the displacement of the spring when a force of 75 N is applied. The formula to calculate displacement is given by Hooke's Law:

F = k * x
75 N = 1500 N/m * x
x = 75 N / 1500 N/m
x = 0.05 m

Now, we can calculate the potential energy stored in the spring using the formula:

Potential energy = 0.5 * k * x^2
Potential energy = 0.5 * 1500 N/m * (0.05 m)^2
Potential energy = 0.5 * 1500 N/m * 0.0025 m^2
Potential energy = 3.75 Joules

Therefore, the potential energy stored in the spring when a force of 75 N is applied is 3.75 Joules.