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If the mass attached to a spring is increased and the spring constant is decreased, does the proof of the oscillating does the motions incre
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Answers ( )
Answer:
Will increase
Explanation:
The period of an oscillating motion is the time it takes for the system to make one complete oscillation.
The period of a spring-mass system is given by the equation:
where:
k is the spring constant
m is the mass attached to the spring
In this problem:
– The mass of the system is increased
– The spring constant is decreased
We observe that:
– The period of the system is proportional to the square root of the mass: so as the mass increases, the period will increase as well
– The period is inversely proportional to the square root of the spring constant: so as the constant decreases, the period will increase
Therefore, this means that in this case, the period will increase.