A spring is compressed by 3cm.calculate the energy stored in the string if the first constant is 300NM
energy = 1/2 k x^2 = 1/2 * 300 *.03^2 ... Joules
To calculate the energy stored in a spring, you can use Hooke's Law, which states that the force required to compress or extend a spring is directly proportional to the displacement of the spring from its equilibrium position.
Hooke's Law equation is given as: F = k * x
Where:
F is the force applied to the spring
k is the spring constant
x is the displacement of the spring from its equilibrium position
In this case, you are given the spring constant (k) as 300 N/m and the displacement (x) as 3 cm. However, it is important to convert the displacement to meters for consistent units.
Converting 3 cm to meters:
1 cm = 0.01 m
3 cm = 0.03 m
Now, we can calculate the energy stored in the spring.
First, calculate the force applied to the spring using Hooke's Law:
F = k * x
F = 300 N/m * 0.03 m
F = 9 N
Next, calculate the energy stored in the spring using the formula:
Energy = (1/2) * k * x^2
Energy = (1/2) * 300 N/m * (0.03 m)^2
Energy = (1/2) * 300 N/m * 0.0009 m^2
Energy = 0.135 Joules
Therefore, the energy stored in the spring is 0.135 Joules.