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(c) A toy train, mass m, travels along a track at speed v and is brought to rest by two spring buffers which are shown below. Spring buffer Each buffer has spring constant k. (i) By considering the energy transfer, derive an expression to show how the maximum compression of the buffers varies with the initial speed of the train. (ii) Calculate the maximum compres- sion of the buffers for a train of mass m = 1.2 kg travelling with an initial speed v = 0.45 ms when the spring constant k of each buffer is 4.8 x 10'Nm. State and explain a reason why, in practice, spring buffers of this design [C, '92) are not used.

(c) A toy train, mass m, travels along a track at speed v and is brought to rest by two spring buffers which are shown below. Spring buffer Each buffer has spring constant k. (i) By considering the energy transfer, derive an expression to show how the maximum compression of the buffers varies with the initial speed of the train. (ii) Calculate the maximum compres- sion of the buffers for a train of mass m = 1.2 kg travelling with an initial speed v = 0.45 ms when the spring constant k of each buffer is 4.8 x 10'Nm. State and explain a reason why, in practice, spring buffers of this design [C, '92) are not used.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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(c) Atoy train, mass m, travels along a track at speed v and is brought to rest by two spring buffers which are shown below. Spring buffer Each buffer has spring constant k. (i) By considering the energy transfer, derive an expression to show how the maximum compression of the buffers varies with the initial speed of the train. (ii) Calculate the maximum compres- sion of the buffers for a train of mass m = 1.2 kg travelling with an initial speed v = 0.45ms- when the spring constant k of each buffer is 4.8 x 10'Nm. State and explain a reason why, in practice, spring buffers of this design [C, 92) are not used.
Transcribed Image Text:(c) Atoy train, mass m, travels along a track at speed v and is brought to rest by two spring buffers which are shown below. Spring buffer Each buffer has spring constant k. (i) By considering the energy transfer, derive an expression to show how the maximum compression of the buffers varies with the initial speed of the train. (ii) Calculate the maximum compres- sion of the buffers for a train of mass m = 1.2 kg travelling with an initial speed v = 0.45ms- when the spring constant k of each buffer is 4.8 x 10'Nm. State and explain a reason why, in practice, spring buffers of this design [C, 92) are not used.
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