The potential energy stored in a spring can be calculated using the formula:
Potential Energy (PE) = (1/2) * spring constant (k) * displacement^2
Given:
Spring constant (k) = 1,500 N/m
Force (F) = 75 N
To calculate the potential energy, we need to first find the displacement (x) caused by the force. This can be done by rearranging Hooke's Law:
Force (F) = -k * displacement (x)
Rearranging the equation, we get:
displacement (x) = -F / k
Substituting the given values:
displacement (x) = -75 N / 1,500 N/m = -0.05 m
Since displacement is negative, it means the spring is compressed.
Now, we can calculate the potential energy:
Potential Energy (PE) = (1/2) * k * displacement^2
= (1/2) * 1,500 N/m * (-0.05 m)^2
= (1/2) * 1,500 N/m * 0.0025 m^2
= 1.875 J (Joules)
Therefore, the potential energy stored in the spring is 1.875 Joules.
A spring force containt 1,500N/M acted upon by constant force of 75N calculate the potential energy stored in the spring
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