A 1.40 kg block is attached to a spring with spring constant 17.5 N/m. While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 33.0 cm/s. Part A What is the amplitude of the subsequent oscillations? Express your answer with the appropriate units. ► View Available Hint(s) 9 A = 0.140 Submit Previous Answers Part B m ? X Incorrect; Try Again; 5 attempts remaining What is the block's speed at the point where x = 0.10A? Express your answer with the appropriate 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.
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![### Simple Harmonic Motion: Amplitude and Speed Calculations
#### Problem Statement:
A 1.40 kg block is attached to a spring with a spring constant of 17.5 N/m. While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 33.0 cm/s.
#### Part A:
**Question:**
What is the amplitude of the subsequent oscillations?
*Express your answer with the appropriate units.*
**Answer Input:**
\[ A = 0.140 \, \text{m} \]
**Feedback:**
Incorrect; Try Again; 5 attempts remaining.
#### Part B:
**Question:**
What is the block's speed at the point where \( x = 0.10A \)?
*Express your answer with the appropriate units.*
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This exercise involves calculating the amplitude of oscillations and speed at a specific point for a block attached to a spring, which is hit to initiate motion. The values to consider are:
- Mass of the block: 1.40 kg
- Spring constant: 17.5 N/m
- Initial speed: 33.0 cm/s (Note: Convert to meters per second for calculations by dividing by 100).
Make sure to apply the principles of conservation of energy and the equations of simple harmonic motion to find the correct answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff33a0ffa-3110-4bd4-95fd-8e94a6fc762f%2Fdc61e83d-8d60-4f63-903b-6fd3c1d6a202%2Fbodz9z_processed.png&w=3840&q=75)
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