The magnitude of gravity is expressed in terms of its acceleration. So the magnitude of ' g ' at that altitude is exactly 6.5 m/s^2.
Answer:
Energy May be measured in joule
V = u + at
<span>= 0 + (9.81)(10) </span>
<span>= 98.1m/s </span>
<span>Ignoring air resistance.</span>
Answer:
38.64 feet
Explanation:
x=x0 + vx0t + 1/2axt2
x= 0 + 0 + 1/2 X 32.17 ft/sec2 X 1.55 sec2
x = 38.64 feet
Answer:
is the minimum gap between the slabs
Explanation:
Given:
- length of the concrete highway,
![l=12\ m](https://tex.z-dn.net/?f=l%3D12%5C%20m)
- coefficient of thermal expansion,
![\alpha=12\times 10^{-6}\ ^{\circ}C^{-1}](https://tex.z-dn.net/?f=%5Calpha%3D12%5Ctimes%2010%5E%7B-6%7D%5C%20%5E%7B%5Ccirc%7DC%5E%7B-1%7D)
- range of temperature variation,
![(-30^{\circ}C\ to\ 50^{\circ}C) \Rightarrow \Delta T=80^{\circ}C](https://tex.z-dn.net/?f=%28-30%5E%7B%5Ccirc%7DC%5C%20to%5C%2050%5E%7B%5Ccirc%7DC%29%20%5CRightarrow%20%5CDelta%20T%3D80%5E%7B%5Ccirc%7DC)
<u>Now form the equation of thermal expansion:</u>
![\Delta l=l\times \alpha\times \Delta T](https://tex.z-dn.net/?f=%5CDelta%20l%3Dl%5Ctimes%20%5Calpha%5Ctimes%20%5CDelta%20T)
![\Delta l=12\times (12\times 10^{-6})\times 80](https://tex.z-dn.net/?f=%5CDelta%20l%3D12%5Ctimes%20%2812%5Ctimes%2010%5E%7B-6%7D%29%5Ctimes%2080)
![\Delta l=1.152\times 10^{-2}\ m](https://tex.z-dn.net/?f=%5CDelta%20l%3D1.152%5Ctimes%2010%5E%7B-2%7D%5C%20m)
Since each slab of the highway expands by the above length so the minimum gap between the slabs to prevent buckling:
![\Delta x=2\times \Delta l](https://tex.z-dn.net/?f=%5CDelta%20x%3D2%5Ctimes%20%5CDelta%20l)
![\Delta x=2\times( 1.152\times 10^{-2})](https://tex.z-dn.net/?f=%5CDelta%20x%3D2%5Ctimes%28%201.152%5Ctimes%2010%5E%7B-2%7D%29)
is the minimum gap between the slabs