Question

A 170 g air-track glider is attached to a spring with a spring constant of 5.70 N/m. The damping constant due to air resistance is 9.00×10^(-3) kg/s. The glider is pulled out 46.0 cm from equilibrium and released. Part A: How many oscillations will it make during the time in which the amplitude decays to e^(-1) of its initial value? 2. The 17 g head of a bobble-head doll oscillates in SHM at a frequency of 3.3 Hz. Part A: What is the spring constant of the spring on which the head is mounted? Express your answer to two significant figures and include the appropriate units. Part B: Suppose the head is pushed 2.0 cm against the spring, then released. The amplitude of the head's oscillations decreases to 0.5 cm in 4.0 s. What is the head's damping constant? Express your answer using two significant figures. 3. A mass on a string of unknown length oscillates as a pendulum with a period of 3.7 s. Parts A to D are independent questions, each referring to the initial situation. Part A: What is the period if the string length is doubled? Express your answer to two significant figures and include the appropriate units. Part B: What is the period if the string length is halved? Express your answer to two significant figures and include the appropriate units.

          A 170 g air-track glider is attached to a spring with a spring constant of 5.70 N/m. The damping constant due to air resistance is 9.00×10^(-3) kg/s. The glider is pulled out 46.0 cm from equilibrium and released.

Part A: How many oscillations will it make during the time in which the amplitude decays to e^(-1) of its initial value?

2. The 17 g head of a bobble-head doll oscillates in SHM at a frequency of 3.3 Hz.

Part A: What is the spring constant of the spring on which the head is mounted? Express your answer to two significant figures and include the appropriate units.

Part B: Suppose the head is pushed 2.0 cm against the spring, then released. The amplitude of the head's oscillations decreases to 0.5 cm in 4.0 s. What is the head's damping constant? Express your answer using two significant figures.

3. A mass on a string of unknown length oscillates as a pendulum with a period of 3.7 s.

Parts A to D are independent questions, each referring to the initial situation.

Part A: What is the period if the string length is doubled? Express your answer to two significant figures and include the appropriate units.

Part B: What is the period if the string length is halved? Express your answer to two significant figures and include the appropriate units.

Added by Nicholas S.

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