A spring of natural length 1.5cm is extended by 0.02cm by a force of 1.5N.what will the height be when the applied force is 4.0N
The height of the spring is directly proportional to the force applied to it. Let's calculate the increase in height when the force is increased from 1.5N to 4.0N.
We can use the formula for the extension of a spring:
Force = k * extension
Where:
Force is the force applied (in N)
k is the spring constant (in N/cm)
extension is the change in length of the spring (in cm)
Given that the natural length of the spring is 1.5cm, the extension is 0.02cm, and the force applied is 1.5N, we can find the spring constant:
1.5N = k * 0.02cm
k = 1.5N / 0.02cm
k = 75 N/cm
Now that we have the spring constant, we can calculate the extension when the force is 4.0N:
extension = Force / k
extension = 4.0N / 75 N/cm
extension ≈ 0.0533 cm
Finally, we can find the total height of the spring by adding the natural length (1.5cm) to the extension:
height = natural length + extension
height = 1.5cm + 0.0533 cm
height ≈ 1.5533 cm
Therefore, when the applied force is 4.0N, the height of the spring will be approximately 1.5533 cm.