How much work is required to extend an exercise spring 15cm if the spring constant is 800N/m?
work=1/2 k x^2=1/2 *800*.15^2
To calculate the work required to extend an exercise spring, we can use the formula:
Work = (1/2) * k * x^2
where:
- Work is the amount of work done on the spring (in joules),
- k is the spring constant (in newtons per meter),
- x is the displacement of the spring (in meters).
In this case, the spring constant is given as 800 N/m and the displacement of the spring is 15 cm, which can be converted to 0.15 m. Let's substitute these values into the formula:
Work = (1/2) * 800 N/m * (0.15 m)^2
Now, let's calculate the work:
Work = (1/2) * 800 N/m * 0.0225 m^2
= 0.5 * 800 N/m * 0.0225 m^2
= 9 Joules
So, it would require 9 joules of work to extend the exercise spring by 15 cm.