Respuesta :
Answer:
b) Decrease the amplitude Increase the mass.
Step-by-step explanation:
The period does not depend on the amplitude. The period depends on the spring constant, k and the mass, m.
Mathematically,
T = 2pi × sqrt(m/k)
The more amplitude the more distance to cover but the faster it will cover the distance. The distance and speed will cancel each other out, so the period will remain the same. Increasing the mass increases the period of oscillation.
Period is the time needed to pass two successive crests. To make the period longer we need to decrease the amplitude Increase the mass.
What is a period?
The period is the time that is been taken by the wave to pass two successive crests (one wavelength) to pass a specified point.
A period is always dependent on the mass(m), and the spring constant(k). It is given by the formula,
[tex]T = 2\pi \times \sqrt{\dfrac{m}{k}}[/tex]
Therefore, if the spring constant is more the period will be less while, if the mass is more the period will be more.
Also, the amplitude does not have any impact on the period, but if the amplitude is more, therefore, the distance that is needed to be traveled will be more, but at the same time, the speed will also be increased. therefore, the amplitude doesn't make a significant impact on the period.
Hence, to make the period longer we need to decrease the amplitude Increase the mass.
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