Part A A block attached to a spring with unknown spring constant oscillates with

Question

Part A A block attached to a spring with unknown spring constant oscillates with a period of 1.8 s. Parts A to D are independent questions, each referring to the initial situation. What is the period if the mass is doubled? Express your answer to two significant figures and include the appropriate units. IA Value Units Submit Previous Answers XIncorrect Try Again;9 attempts remaining Part B What is the period if the mass is halved? Express your answer to two significant figures and include the appropriate units Value Units

Explanation / Answer

T = 2 * (m / k)

where:

T = period
m = mass
k = spring constant


(a)

T = 2 * (m / k)

If the mass is doubled:

T = 2 * (2m / k)


The period will be multiplied by 2:

T = 2 * 1.8 = 2.54 s



(b)

T = 2 * (m / k)

If the mass is halved:

T = 2 * [(m/2) / k]


The period will be divided by 2:

T = 1.8 / 2 = 1.27 s


(c)

The period is not dependent on the amplitude, i.e., there is no effect.


(d)

T = 2 * (m / k)

If the spring constant is doubled:

T = 2 * (m / 2k)


The period will be divided by 2:

T = 1.8 / 2 = 1.27 s

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