A spiral spring is compressed by 0.03m calculates the energy stored in the spring if its force constant is 300Nm per 1
F = kx
so k = F/x
W = 1/2 kx^2 = 1/2 (F/x) x^2 = 1/2 Fx
To calculate the energy stored in a spring, we can use the formula:
E = (1/2)kx²
Where:
E is the energy stored in the spring
k is the force constant of the spring
x is the distance the spring is compressed or stretched
In this case, the spring is compressed by 0.03m, and the force constant is given as 300 N/m.
So, substituting the values into the formula:
E = (1/2) * 300 N/m * (0.03m)²
First, we square the value of 0.03m:
E = (1/2) * 300 N/m * (0.03m * 0.03m)
E = (1/2) * 300 N/m * 0.0009 m²
Next, we multiply the force constant by the squared distance:
E = 0.5 * 300 N/m * 0.0009 m²
E = 0.135 J (Joules)
Therefore, the energy stored in the spring, when compressed by 0.03m with a force constant of 300 N/m, is 0.135 Joules.
To calculate the energy stored in a spring, you can use the formula:
E = (1/2) k x^2
where:
E is the energy stored in the spring
k is the force constant of the spring
x is the compression or extension of the spring
In this case, the compression of the spring (x) is given as 0.03 m, and the force constant (k) is given as 300 N/m.
Now we can substitute the given values into the formula to calculate the energy stored in the spring:
E = (1/2)(300 N/m)(0.03 m)^2
First, we square the compression:
E = (1/2)(300 N/m)(0.0009 m^2)
Next, we calculate the product of 1/2, 300 N/m, and 0.0009 m^2:
E = 0.135 Joules
Therefore, the energy stored in the spring when compressed by 0.03 m is 0.135 Joules.