A spring force containt 1,500N/M acted upon by constant force of 75N calculate the potential energy stored in the spring
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.
The potential energy stored in a spring can be calculated using the formula:
Potential Energy = (1/2) x k x x^2
Where:
k = spring constant (N/m)
x = displacement of the spring from its equilibrium position
In this case, the spring force constant (k) is given as 1,500 N/m and the displacement (x) is not provided. Therefore, we cannot directly calculate the potential energy without the displacement value.
If you can provide the displacement (x) of the spring from its equilibrium position, I can help you calculate the potential energy stored in the spring.