Problem 10.71 A 21 kg box slides 4.0 m down the frictionless ramp shown in the figure(Figure 1), then collides with a spring whose spring constant is 200 N/m Part A What is the maximum compression of the spring? Express your answer to two significant figures and include the appropriate units. HA Asmax = Value Units Submit Request Answer • Part B At what compression of the spring does the box have its maximum speed? Express your answer to two significant figures and include the appropriate units. As = Value Units Submit Request Answer Provide Feedback
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.
![**Problem 10.71**
A 2.1 kg box slides 4.0 m down the frictionless ramp shown in the figure (Figure 1), then collides with a spring whose spring constant is 200 N/m.
- **Part A**
- What is the maximum compression of the spring?
- Express your answer to two significant figures and include the appropriate units.
- Input field: Δs<sub>max</sub> = [Value] [Units]
- Submit button and request answer link provided.
- **Part B**
- At what compression of the spring does the box have its maximum speed?
- Express your answer to two significant figures and include the appropriate units.
- Input field: Δs = [Value] [Units]
- Submit button and request answer link provided.
**Diagram Description:**
The figure shows a box sliding down a frictionless inclined plane. The plane is 4.0 meters long and inclined at an angle of 30 degrees to the horizontal. At the bottom of the ramp, there is a spring positioned to collide with the box.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e539c53-8ea0-410a-97df-bfbb76ce56a5%2Fcf3b1d54-5791-4b5f-aabf-6d5f46498e90%2Fdagxqa4_processed.png&w=3840&q=75)
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