Answer:
A is right, depending on what you mean the health organization OSHA is aloud to search faculty if they can or may be affecting peoples health. With a proper search it can be made clear if its safe or not and the OSHA is aloud to do it without your consent to it.
Answer:
Explanation:
The coefficient of performance of the reversible heat pump is:
The thermal efficiency of the reversible power cycle is:
After a quick comparison between both expressions, the following relation is found:
Answer:
a) 
, b) 
The real force has the opposite direction.
Explanation:
a) Let assume that train moves on the horizontal ground. An equation for the distance travelled by the train is modelled after the Principle of Energy Conservation and Work-Energy Theorem:
![d = \frac{(51000\,kg)\cdot [(90\,\frac{km}{h} )\cdot (\frac{1000\,m}{1\,km} )\cdot (\frac{1\,h}{3600\,s} )]^{2}}{2\cdot (82000\,N)}](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B%2851000%5C%2Ckg%29%5Ccdot%20%5B%2890%5C%2C%5Cfrac%7Bkm%7D%7Bh%7D%20%29%5Ccdot%20%28%5Cfrac%7B1000%5C%2Cm%7D%7B1%5C%2Ckm%7D%20%29%5Ccdot%20%28%5Cfrac%7B1%5C%2Ch%7D%7B3600%5C%2Cs%7D%20%29%5D%5E%7B2%7D%7D%7B2%5Ccdot%20%2882000%5C%2CN%29%7D)
b) The acceleration experimented by both trains are:
![a = -\frac{[(90\,\frac{km}{h} )\cdot (\frac{1000\,m}{1\,km} )\cdot (\frac{1\,h}{3600\,s})]^{2}}{2\cdot (194.360\,m)}](https://tex.z-dn.net/?f=a%20%3D%20-%5Cfrac%7B%5B%2890%5C%2C%5Cfrac%7Bkm%7D%7Bh%7D%20%29%5Ccdot%20%28%5Cfrac%7B1000%5C%2Cm%7D%7B1%5C%2Ckm%7D%20%29%5Ccdot%20%28%5Cfrac%7B1%5C%2Ch%7D%7B3600%5C%2Cs%7D%29%5D%5E%7B2%7D%7D%7B2%5Ccdot%20%28194.360%5C%2Cm%29%7D)
The coupling force in the car A can derived of the following equation of equilibrium:
The coupling force between cars is:
The real force has the opposite direction.
Explanation & answer:
Assuming a smooth transition so that there is no abrupt change in slopes to avoid frictional loss nor toppling, we can use energy considerations.
Initially, the cube has a kinetic energy of
KE = mv^2/2 = 10 lbm * 20^2 ft^2/s^2 / 2 = 2000 lbm-ft^2 / s^2
At the highest point when the block stops, the gain in potential energy is
PE = mgh = 10 lbm * 32.2 ft/s^2 * h ft = 322 lbm ft^2/s^2
By assumption, there was no loss in energies, we equate PE = KE
322h lbm ft^2/s^2 = 2000 lbm ft^2/s^2
=>
h = 2000 /322 = 6.211 (ft)
distance up incline = h / sin(30) = 12.4 ft
