Work of 1 joules is done in stretching a spring from its natural length to 14 cm beyond its natural length. What is the force (in newtons) that holds the spring stretched at the same distance (14 cm)?
To find the force that holds the spring stretched at the same distance, we need to use Hooke's Law. Hooke's Law states that the force needed to stretch or compress a spring is directly proportional to the distance it is stretched or compressed.
The formula for Hooke's Law is:
F = k * x
Where:
F is the force applied to the spring,
k is the spring constant, and
x is the displacement from the natural length of the spring.
In this case, we are given the work done (1 joule) and the displacement (14 cm). We know that work is calculated as the product of force and displacement:
Work = Force * Displacement
1 Joule = Force * 14 cm
Since force is in Newtons and displacement is in meters, we need to convert 14 cm to meters by dividing by 100:
1 Joule = Force * 0.14 m
Now we can rearrange the equation to solve for force:
Force = 1 Joule / 0.14 m
Force = 7.14 Newtons
Therefore, the force that holds the spring stretched at a distance of 14 cm is approximately 7.14 Newtons.