Period of Mass on Spring: Amplitude & Period

In summary, the period of a mass on a spring is the time it takes for one full cycle of motion, measured in seconds. It can be calculated using the formula T = 2π√(m/k), where T is the period, m is the mass in kilograms, and k is the spring constant in Newtons per meter. The amplitude of a mass on a spring is the maximum displacement from its equilibrium position, measured in meters. The mass of the object affects the period directly, as it increases, the period also increases. The spring constant affects the period inversely, as it increases, the period decreases.
  • #1
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Homework Statement


A mass oscillating on a given spring has a period of 2s. The spring is now stretched to have an oscillation amplitude that is twice its original amplitude. Which of the following is true?

A The period is 0.5 s.

B The period is 1 s.

C The period is 2 s.

D The period is 2.8s

E The period is 4s.


Homework Equations





The Attempt at a Solution



Is it C. 2s
Because the period is independent of amplitude?
 
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  • #2
You are correct! But perhaps a better question is why?
 
  • #3


Yes, that is correct. The period of an oscillating mass on a spring is determined by the spring constant and the mass, and is independent of the amplitude. Therefore, the period will remain at 2 seconds regardless of the change in amplitude.
 

Related to Period of Mass on Spring: Amplitude & Period

What is the period of a mass on a spring?

The period of a mass on a spring refers to the amount of time it takes for the mass to complete one full cycle of motion, starting from its original position and returning to that same position. It is typically measured in seconds.

How is the period of a mass on a spring calculated?

The period of a mass on a spring can be calculated using the formula T = 2π√(m/k), where T is the period in seconds, m is the mass of the object in kilograms, and k is the spring constant in Newtons per meter.

What is the amplitude of a mass on a spring?

The amplitude of a mass on a spring refers to the maximum displacement of the mass from its equilibrium position. It is typically measured in meters.

How does the mass of the object affect the period of a mass on a spring?

The period of a mass on a spring is directly proportional to the square root of the mass. This means that as the mass increases, the period also increases.

How does the spring constant affect the period of a mass on a spring?

The period of a mass on a spring is inversely proportional to the square root of the spring constant. This means that as the spring constant increases, the period decreases.

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