at what point displacement is maximum in Spring Constant
Answers
Answer:
The magnitude of the force required to change the length of a spring-like object is directly proportional to the spring constant and the displacement of the spring. Elastic potential energy is directly proportional to the square of the change in length and the spring constant.
MARK ME AS BRAINLIEST
Explanation:
We know that,
F=-kx
Therefore, k=−Fx
Dimension of F=[MLT-2]
Dimension of x= [L]
Therefore, dimension of k=k=−[MLT−2][L]=−[MT−2]
Spring Constant
The Spring Constant Formula is given as, k=−Fx where,
F = Force applied,
x = displacement by the spring
The negative sign shows that the restoring force is opposite to the displacement
It is expressed in Newton per meter (N/m).
Solved Examples
Example 1 A spring with load 5 Kg is stretched by 40 cm. Determine its spring constant.
Solution:
Given:
Mass m = 5 Kg
Displacement x = 40 cm
We know that,
Force F = m a = 5 × 0.4 = 2 N
The spring constant is given as:
k=−Fx
= – 2 / 0.4= – 5 N/m
Example 2 A boy weighing 20 pounds stretches a spring by 50 cm. Determine the spring constant of the spring.
Solution:
Given:
Mass m = 20 lbs = 20 / 2.2 = 9.09 Kg
Displacement x = 50 cm
The force F = ma = 9.09 × 9.8 = 89.082 N
The spring constant formula is given by:
k=−Fx
= – 89.082 / 0.5 = – 178.164 N/m.
Stay tuned with BYJU’S to learn more about other Physics related concepts.