(a). The restoring force in the spring will be if it is stretched to a length of .
(b). The restoring force in the spring will be if it is compressed to a length of .
Further Explanation:
When we compress or stretch a spring from its natural length, there is a restoring force developed in the spring due to the compression and stretching of the spring.
The restoring force experienced by the spring due to stretching is expressed as:
…… (1)
Here, is the restoring force developed in the spring, is the spring constant of the spring and is the length through which the spring is stretched.
The spring experiences a restoring force of when it is stretched to a length of from its natural length .
Substitute the values of force and change in length in equation (1).
Part (a):
When the spring experiences a restoring force of , then the stretched length of the spring should be:
Substitute for in above expression.
So, the stretched length of the spring becomes:
Thus, the restoring force in the spring will be if it is stretched to a length of .
Part (b):
The restoring force of magnitude is experienced by the spring on compression. The change in length due to compression will be:
Substitute for in above expression.
So, the compressed length of the spring becomes:
Thus, the restoring force in the spring will be if it is compressed to a length of .
Learn More:
1. How far must you compress a spring with twice the spring constant to store the same amount of energy? <u>brainly.com/question/2114706
</u>
2. Max and Maya are riding on a merry-go-round that rotates at a constant speed <u>brainly.com/question/8444623
</u>
3. It's been a great day of new, frictionless snow. Julie starts at the top of the 60 <u>brainly.com/question/3943029
</u>
Answer Details:
Grade: High School
Subject: Physics
Chapter: Work and energy
Keywords:
Spring, unstretched length, compressed, stretched, restoring force, 3F, 11 cm, F=kx, natural length of spring.