Answer:
It's 1.0000042 times longer in summer than in winter. It represents a 1.6 centimeters difference between seasons.
Explanation:
The linear coefficient of thermal expansion for steel is about
. From the equation of linear thermal expansion, we have:

Taking the winter day as the initial, and the summer day as the final, we can take the relationship between them:
![L_{summer}=L_{winter}[1+(1.2*10^{-7}\°C^{-1})(30\°C+5\°C)]\\\\L_{summer}=(1.0000042)L_{winter}](https://tex.z-dn.net/?f=L_%7Bsummer%7D%3DL_%7Bwinter%7D%5B1%2B%281.2%2A10%5E%7B-7%7D%5C%C2%B0C%5E%7B-1%7D%29%2830%5C%C2%B0C%2B5%5C%C2%B0C%29%5D%5C%5C%5C%5CL_%7Bsummer%7D%3D%281.0000042%29L_%7Bwinter%7D)
It means that the bridge is 1.0000042 times longer in summer than in winter. If we multiply it by the length of the bridge, we obtain that the difference is of about 1.6 centimeters between the two seasons.
Answer:
v = 0.5 [m/s]
Explanation:
In order to determine the speed in such a time interval, we must calculate the slope between the last two positions.
The slope of a line is determined by the following mathematical expression.
P₂ = point 2 = (12,12) = (x₂,y₂)
P₁ = Point 1 = (6,9) = (x₁,y₁)
In this specific case, we must see that in the x-axis we have time, and on the y-axis, we have the space axis.
Now using the slope:

This slope is equal to the speed (velocity)
v = 0.5 [m/s]
Question :-
- If a Train going with 60 m/s Speed hits the Brakes, and takes 85 sec to stop. What is the Acceleration of the Train ?
Answer :-
- Acceleration of Train is 0.70 m/s² .
Explanation :-
As per the provided information in the given question, we have been given that the Speed of the Train is 60 m/s . Time taken to stop the Train is 85 sec . And, we have been asked to calculate the Acceleration of the Train .
For calculating the Acceleration , we will use the Formula :-

Where ,
- V denotes to Final Velocity .
- U denotes to Initial Velocity .
- T denotes to Time Taken .
Therefore , by Substituting the given values in the above Formula :-




Hence :-
- Acceleration = 0.70 m/s² .

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