Knowing the Spring Constant(k) and stretch(delta-x), and mass of the spring, how do we calculate the work we do to the spring when we push down on the spring to compress it?
work = 1/2 * k * (Δx)^2
To calculate the work done on a spring when compressing it, you can use the formula:
Work = (1/2) * k * (delta-x)^2
Where:
- Work is the amount of work done on the spring.
- k is the spring constant.
- delta-x is the amount by which the spring is compressed (the stretch or displacement from its equilibrium position).
To calculate the work done on the spring, follow these steps:
1. Determine the values of k and delta-x, given in the problem.
2. Square the value of delta-x. (Multiply delta-x by itself.)
3. Multiply the result from step 2 by the spring constant k.
4. Multiply the result from step 3 by 1/2.
The final result will be the work done on the spring when compressing it.
To calculate the work done to compress a spring, you can use the formula:
Work = 0.5 * k * (delta-x)^2
Where:
- Work is the amount of work done on the spring
- k is the spring constant (measured in N/m)
- delta-x is the deformation or change in length of the spring (measured in meters)
To calculate the work done, you need to know the spring constant (k) and the amount the spring is compressed (delta-x). The work done on the spring is equal to half the product of the spring constant and the square of the deformation.
Here is an example to help you understand the calculation:
Let's say the spring constant (k) is 100 N/m and the deformation (delta-x) is 0.2 meters.
Plugging in these values into the formula, we get:
Work = 0.5 * 100 * (0.2)^2
= 0.5 * 100 * 0.04
= 2 Joules
Therefore, the work done to compress the spring would be 2 Joules.