A spring has an unstretched length of 10 cm. It exerts a restoring force F when stretched to a length of 11 cm. Part A For what length of the spring is its restoring force 3F? Express you answer with the appropriate units. 1 = Submit Part B Value 1 = μA Request Answer Submit At what compressed length is the restoring force 2F? Express your answer with the appropriate units. μA Value Units Request Answer ? Units ?
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
![**Spring Restoring Force Analysis**
A spring has an unstretched length of 10 cm. It exerts a restoring force \( F \) when stretched to a length of 11 cm.
### Part A
For what length of the spring is its restoring force \( 3F \)?
- **Instruction**: Express your answer with the appropriate units.
Input fields:
- \( l = \) [Value] [Units]
**Submit Button**
- Options: Submit, Request Answer
### Part B
At what compressed length is the restoring force \( 2F \)?
- **Instruction**: Express your answer with the appropriate units.
Input fields:
- \( l = \) [Value] [Units]
**Submit Button**
- Options: Submit, Request Answer
This exercise prompts students to apply Hooke's Law to determine specific lengths of a spring at various restoring force magnitudes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6ce2240-b3fe-4331-98ee-3937416f40f5%2F9729051c-e720-4e7c-b5c2-5548928e157c%2F80zwx6r_processed.png&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 14 images
