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Why does changing the amount of exposed threads change the period that you obtain in step 4? (This is not as simple to explain as it might seem; try to be very clear in your explanation.)

User Raajkumar
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Final answer:

Changing the amount of exposed threads affects the period of a system because it alters parameters such as the length of a pendulum or the stiffness of a system, which in turn affects the period according to specific formulas that govern the motion of the system.

Step-by-step explanation:

Changing the amount of exposed threads in a physics experiment typically involves modifying a parameter of the system, such as the length of a pendulum or the tension in a spring. This modification, in turn, affects the system's period. The period of a pendulum, for example, is directly related to the square root of its length divided by the acceleration due to gravity, as shown by the formula T = 2π√(L/g). Hence, any change in length caused by adjusting the amount of exposed threads would result in a change in the period. This relationship is grounded in the concept that the longer the pendulum, the slower it swings, with the increase in period being proportional to the square root of the increased length.

Furthermore, the period of a system is also affected by its stiffness. A stiffer system has a larger force constant (k), typically leading to a smaller period, as seen in the case of springs and diving boards. Conversely, a less stiff system, with a lower force constant, would exhibit a larger period. Therefore, adjusting the amount of exposed threads can also be a proxy for adjusting the system's stiffness, which in turn changes the period according to the system's characteristics.

User Nicolas Joseph
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