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

Question

A block attached to a spring with unknown spring constant oscillates with a period of 3.8 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. What is the period if the mass is halved? Express your answer to two significant figures and include the appropriate units. What is the period if the amplitude is doubled? Express your answer to two significant figures and include the appropriate units. What is the period if the spring constant is doubled? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Here, time period = 2pi * sqrt(m/k)

A)    the period if the mass is doubled =   sqrt(2) * 3.8

                                                            = 5.374 sec

B)    the period if the mass is halved =   [1/sqrt(2)] * 3.8

                                                           = 2.687 sec

C)     the period if the amplitude is doubled = 3.8 sec

D)      the period if the spring constant is doubled   = [1/sqrt(2)] * 3.8

                                                                             = 2.687 sec

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