A spring of force constant 1500N/m is acted upon by a constant force of 75N.calculate the potential energy stored in the spring.
To calculate the potential energy stored in a spring, you can use the formula:
Potential Energy = (1/2) * k * x^2
where "k" is the force constant of the spring and "x" is the displacement from the equilibrium position.
In this case, the force constant of the spring is given as 1500 N/m. However, we need to find the displacement in order to calculate the potential energy stored in the spring.
Displacement can be found using Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from the equilibrium position:
F = k * x
Where "F" is the applied force and "x" is the displacement.
In this case, we are given that the constant force acting on the spring is 75N. Therefore, we can rearrange the equation to solve for "x":
75N = 1500 N/m * x
Dividing both sides by 1500 N/m:
x = 75N / 1500 N/m
= 0.05 m
Now that we have the displacement, we can substitute it back into the formula for potential energy to calculate the answer:
Potential Energy = (1/2) * k * x^2
= (1/2) * 1500 N/m * (0.05 m)^2
= 0.375 J
Therefore, the potential energy stored in the spring is 0.375 Joules.