The solution for this problem is:
Remember that this doesn’t depend on the mass of the child.
E = T + U = constant
E (maximum height) = T + U =U = mgh = mg[r - r· cos (Θ)]
E (bottom height) = T + U = T = ½mv² = mg[r - r · cos (Θ)]
v² = 2g[r – r · cos (Θ)]
v = √ (2g[r-r·cos(Θ)])
= √(2(9.8)[3 – 3 · cos (45°)])
= 4.15 m/s or 15 kph
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Answer:
The temperature change is -633.15K
Explanation:
If we considered the expansion as a reversible one (to be adiabatic is one of the requirements), the work done by expansion can be written as:
Where 2 and 1 subscripts mean the final and the initial state respectively. The equation negative sign says that for an expansion of the gas, the system is making work, so the energy is going out of the system.
Using the ideal gas equation, it is possible to change volume and pressure by temperatures:
So,
This result makes sense considering that the volume increases, so it is expected that the temperature decreases.
It's a combination of substances that does not have uniform composition and properties.
In the basic hydrogen atom, shown below left, the cloud is densest in the center and thins out with distance from the nucleus, which means the electron is most likely to be found near the nucleus, in a region about 1/20 nm in size.
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