A spring is stretched by a 40mm by a force of 10 newton.what is the work done by the force
10 N = k * 0.040 meters
so
k = 10/.04 =1 Newton / .004 meter
Work done = potential energy gained = (1/2) k x^2
= (1/2)(1/.004)(.04)(.04) Joules
To calculate the work done by a force, we can use the formula:
Work = Force * Displacement * cos(theta)
In this case, the force applied is 10 Newtons and the displacement of the spring is 40 mm (or 0.04 meters). However, we need to find the angle (theta) between the direction of force and the direction of displacement to calculate the work done.
In this scenario, assuming the force is applied in the same direction as the displacement (i.e., they are aligned), the angle theta is 0 degrees. Therefore, cos(0) = 1.
Using the equation:
Work = Force * Displacement * cos(theta)
Work = 10 N * 0.04 m * cos(0)
Since cos(0) equals 1, we can simplify the equation:
Work = 10 N * 0.04 m * 1
Work = 0.4 Joules
Therefore, the work done by the force on the spring is 0.4 Joules.