Can this be explained with a lot of detail in order to understand. cV Find theM2aMtThe equation for the change of position of an imaginary train starting at X = 0 m is given by x=aMdimensions of a, b and c.[M: mass is the train, L:length of the train, V:instantaneous velocity]

Equation of motion of an imaginary train is given by : x = aMt2 + bt2L + cVM2where M is the mass of…

Answered: The equation for the change of position…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter9: Momentum And Its Conservation

Section: Chapter Questions

Problem 92A

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Can this be explained with a lot of detail in order to understand.

cV Find the
M2
aMt
The equation for the change of position of an imaginary train starting at X = 0 m is given by x=aM
dimensions of a, b and c.[M: mass is the train, L:length of the train, V:instantaneous velocity]

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$Equation of motion of an imaginary train is given by : x = \frac{a M t}{2} + \frac{b t^{2}}{L} + \frac{c V}{M^{2}} w h e r e M is the mass of train L is the length of the train V is the instantaneous velocity of the train Using the rule of dimensional analysis : The Dimensions on the left hand side of the equation is equal to the dimensions on the right hand side of the equation . Also, the same dimensional quantities can be subtracted and added on both sides of an equation. Therefore, comparing the terms on the right hand side with the left hand side in terms of dimensions$

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