A spiral spring is compress.by 0.04m
Calculate the energy stored in the spring if the force constant is 100N/m
The formula to calculate the energy stored in a spring is given by:
E = (1/2)kx²
where E is the energy stored, k is the force constant, and x is the compression or extension of the spring.
Given:
k = 100 N/m (force constant)
x = 0.04 m (compression)
Plugging these values into the formula:
E = (1/2)(100)(0.04)²
E = (1/2)(100)(0.0016)
E = 0.08 Joules
Therefore, the energy stored in the spring is 0.08 Joules.
To calculate the energy stored in a compressed spiral spring, we can use the formula:
E = (1/2) * k * x^2
where E is the energy, k is the force constant, and x is the displacement (in this case, the compression) of the spring.
Given that the spring is compressed by 0.04 m and the force constant is 100 N/m, we can substitute these values into the formula:
E = (1/2) * 100 N/m * (0.04 m)^2
E = (1/2) * 100 N/m * 0.0016 m^2
E = 0.08 N * m
Therefore, the energy stored in the spring is 0.08 N * m.
To calculate the energy stored in a spiral spring, we can use the formula for the potential energy stored in a spring, which is given by:
Potential Energy (U) = (1/2) * k * x^2
Where:
- k is the force constant or spring constant (100 N/m in this case)
- x is the displacement or compression of the spring (0.04 m in this case)
Now, let's substitute the given values into the formula:
U = (1/2) * 100 N/m * (0.04 m)^2
First, we calculate the value inside the brackets:
(0.04 m)^2 = 0.0016 m^2
Now, we substitute this value into the formula:
U = (1/2) * 100 N/m * 0.0016 m^2
Next, we calculate the multiplication:
U = 0.08 N * m^2
Since N * m^2 is equivalent to joules (J), the unit of energy, we can conclude that:
U = 0.08 J
Therefore, the energy stored in the spiral spring is 0.08 joules.