Draw a free body diagram to show which forces act in the x and y directions. The x component equation is σfx = 0. The σfx being all the forces acting in the x direction.
Refractor, It's a refractor-esque telescope
Answer:
19.2*10^6 s
Explanation:
The equation for time dilation is:
![t = \frac{t'}{\sqrt{1-\frac{v^2}{c^2}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7Bt%27%7D%7B%5Csqrt%7B1-%5Cfrac%7Bv%5E2%7D%7Bc%5E2%7D%7D%7D)
Then, if it is observed to have a life of 6*10^6 s, and it travels at 0.95 c:
![t = \frac{6*10^6}{\sqrt{1-\frac{(0.95c)^2}{c^2}}} = 19.2*10^6 s](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B6%2A10%5E6%7D%7B%5Csqrt%7B1-%5Cfrac%7B%280.95c%29%5E2%7D%7Bc%5E2%7D%7D%7D%20%3D%2019.2%2A10%5E6%20s)
It has a lifetime of 19.2*10^6 s when observed from a frame of reference in which the particle is at rest.
True, because people should reach their full potential within themselves and human psychologist should help those that need help to reach it.
Answer : The temperature when the water and pan reach thermal equilibrium short time later is, ![59.10^oC](https://tex.z-dn.net/?f=59.10%5EoC)
Explanation :
In this problem we assumed that heat given by the hot body is equal to the heat taken by the cold body.
![q_1=-q_2](https://tex.z-dn.net/?f=q_1%3D-q_2)
![m_1\times c_1\times (T_f-T_1)=-m_2\times c_2\times (T_f-T_2)](https://tex.z-dn.net/?f=m_1%5Ctimes%20c_1%5Ctimes%20%28T_f-T_1%29%3D-m_2%5Ctimes%20c_2%5Ctimes%20%28T_f-T_2%29)
where,
= specific heat of aluminium = ![0.90J/g^oC](https://tex.z-dn.net/?f=0.90J%2Fg%5EoC)
= specific heat of water = ![4.184J/g^oC](https://tex.z-dn.net/?f=4.184J%2Fg%5EoC)
= mass of aluminum = 0.500 kg = 500 g
= mass of water = 0.250 kg = 250 g
= final temperature of mixture = ?
= initial temperature of aluminum = ![150^oC](https://tex.z-dn.net/?f=150%5EoC)
= initial temperature of water = ![20^oC](https://tex.z-dn.net/?f=20%5EoC)
Now put all the given values in the above formula, we get:
![500g\times 0.90J/g^oC\times (T_f-150)^oC=-250g\times 4.184J/g^oC\times (T_f-20)^oC](https://tex.z-dn.net/?f=500g%5Ctimes%200.90J%2Fg%5EoC%5Ctimes%20%28T_f-150%29%5EoC%3D-250g%5Ctimes%204.184J%2Fg%5EoC%5Ctimes%20%28T_f-20%29%5EoC)
![T_f=59.10^oC](https://tex.z-dn.net/?f=T_f%3D59.10%5EoC)
Therefore, the temperature when the water and pan reach thermal equilibrium short time later is, ![59.10^oC](https://tex.z-dn.net/?f=59.10%5EoC)