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A mass attached to a spring oscillates with a frequency of 1 Hz. If the mass is
A mass attached to a spring oscillates with a frequency of 1 Hz. If the mass is increased, what happens to the frequency?
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Practice Questions
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Q1
A mass attached to a spring oscillates with a frequency of 1 Hz. If the mass is increased, what happens to the frequency?
Increases
Decreases
Remains the same
Becomes zero
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The frequency of a mass-spring system is inversely proportional to the square root of the mass. Increasing the mass decreases the frequency.
Questions & Step-by-step Solutions
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Q
Q: A mass attached to a spring oscillates with a frequency of 1 Hz. If the mass is increased, what happens to the frequency?
Solution:
The frequency of a mass-spring system is inversely proportional to the square root of the mass. Increasing the mass decreases the frequency.
Steps: 6
Show Steps
Step 1: Understand that a mass-spring system oscillates, which means it moves back and forth.
Step 2: Know that frequency is how many times the mass goes back and forth in one second. In this case, the frequency is 1 Hz.
Step 3: Learn that frequency is affected by the mass attached to the spring.
Step 4: Remember that if you increase the mass, the frequency will change.
Step 5: Understand the relationship: frequency decreases when mass increases. This means that a heavier mass will oscillate less frequently.
Step 6: Conclude that if the mass is increased, the frequency will be lower than 1 Hz.
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