Steel train rails are laid in 10.0-m-long segments placed end to end. The rails

ID: 3161074 • Letter: S

Question

Steel train rails are laid in 10.0-m-long segments placed end to end. The rails are laid on a winter day when their temperature is -1.0 C.

How much space must be left between adjacent rails if they are just to touch on a summer day when their temperature is 35.0 C?

Express your answer using two significant figures.

If the rails are originally laid in contact, what is the stress in them on a summer day when their temperature is 35.0 C?

Express your answer using two significant figures.

Steel train rails are laid in 10.0-m-long segments placed end to end. The rails are laid on a winter day when their temperature is -1.0 C.

How much space must be left between adjacent rails if they are just to touch on a summer day when their temperature is 35.0 C?

Express your answer using two significant figures.

If the rails are originally laid in contact, what is the stress in them on a summer day when their temperature is 35.0 C?

Express your answer using two significant figures.

a] expansion = alpha* L* dT

= 12*10^-6*10*[35--1]

= 0.00432 m

b] by hooks law, Y = stress/strain

stress = Y*strain

= 200*10^9* 0.00432/10

= 8.6*10^7 Pa

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