A spring of force constant 1500NM is acted upon by a constant force of 75N. calculate the potential energy stored in the spring.
See Related Questions: Mon, 12-21-15, 10:38 AM.
To calculate the potential energy stored in the spring, you can use the formula:
Potential Energy = (1/2) * k * x^2
where:
- k is the force constant of the spring (1500 N/m)
- x is the displacement of the spring from its equilibrium position (unknown in this case)
To find the displacement x, we can use Hooke's Law, which states that the force exerted by a spring is proportional to the displacement from its equilibrium position:
Force = k * x
In this case, the force acting on the spring is 75 N, so we can rewrite the equation as:
75 N = 1500 N/m * x
Now, we can solve for x:
x = 75 N / 1500 N/m
x = 0.05 m (or 5 cm)
Now that we have the displacement, we can substitute it back into the original formula to calculate the potential energy stored in the spring:
Potential Energy = (1/2) * 1500 N/m * (0.05 m)^2
Potential Energy = 0.5625 Joules
Therefore, the potential energy stored in the spring is 0.5625 Joules.