Answer:
1.99 parsecs.
Explanation:
We have been given that the most recently discovered system close to Earth is a pair of brown dwarfs known as Luhman 16. It has a distance of 6.5 light-years.
We know that one light year equals to 0.306601 parsecs. To convert 6.5 light-years to parsecs, we will multiply 0.306601 by 6.5.
![6.5\text{ Light-years}=6.5\times 0.306601\text{ Parsecs}](https://tex.z-dn.net/?f=6.5%5Ctext%7B%20Light-years%7D%3D6.5%5Ctimes%200.306601%5Ctext%7B%20Parsecs%7D)
![6.5\text{ Light-years}=1.9929065\text{ Parsecs}](https://tex.z-dn.net/?f=6.5%5Ctext%7B%20Light-years%7D%3D1.9929065%5Ctext%7B%20Parsecs%7D)
![6.5\text{ Light-years}\approx 1.99\text{ Parsecs}](https://tex.z-dn.net/?f=6.5%5Ctext%7B%20Light-years%7D%5Capprox%201.99%5Ctext%7B%20Parsecs%7D)
Therefore, Luhman 16 is approximately 1.99 parsecs away from the Earth.
Answer:
They will not stop at same elevation
for v=10m/2 => h=5.1m
for v=20m/2 => h=20.4m
Explanation:
If we neglect the effects of friction in the calculations the energy if the system must be conserved. The car energy can be described as a combination of kinetic energy and potential energy:
![E=K+P](https://tex.z-dn.net/?f=E%3DK%2BP)
The potential energy is due to the gravitational forces and can be describes as:
![P=g*h*m](https://tex.z-dn.net/?f=P%3Dg%2Ah%2Am)
Where g is the gravitation acceleration, m the mass of the car, and h the elevation. This elevation is a relative quantity and any point of reference will do the work, in this case we will consider the base of the hill as h=0.
The kinetic energy is related to the velocity of the car as:
![K=1/2*m*v^{2}](https://tex.z-dn.net/?f=K%3D1%2F2%2Am%2Av%5E%7B2%7D)
As the energy must be constant E will be always constant, replacing the expressions for kinetic and potenctial energy:
![E=1/2*m*v^{2}+g*h*m](https://tex.z-dn.net/?f=E%3D1%2F2%2Am%2Av%5E%7B2%7D%2Bg%2Ah%2Am)
In the base of the hill we have h=0:
![E_{base} =1/2*m*v^{2}](https://tex.z-dn.net/?f=E_%7Bbase%7D%20%3D1%2F2%2Am%2Av%5E%7B2%7D)
When the car stops moving we have v=0:
![E_{top} =g*h_{top}*m](https://tex.z-dn.net/?f=E_%7Btop%7D%20%3Dg%2Ah_%7Btop%7D%2Am)
This two must be equal:
![E_{base} =E_{top}](https://tex.z-dn.net/?f=E_%7Bbase%7D%20%3DE_%7Btop%7D)
![1/2*m*v^{2} =g*h_{top}*m](https://tex.z-dn.net/?f=1%2F2%2Am%2Av%5E%7B2%7D%20%3Dg%2Ah_%7Btop%7D%2Am)
solving for h:
![h_{top} =\frac{v^{2}}{2*g}](https://tex.z-dn.net/?f=h_%7Btop%7D%20%3D%5Cfrac%7Bv%5E%7B2%7D%7D%7B2%2Ag%7D)
Lets solve for the two cases:
for v=10m/2 => h=5.1m
for v=20m/2 => h=20.4m
As you can see, when the velocity is the double the height it reaches goes to four times the former one.
Alfred Wegener believed that all of the continents were originally attached! By looking at the map, you can see that Africa and South America look like they were once joined. This 'super continent' was known as Pangaea. He also found fossils that proved his point.
Hope this helps :)
Answer:
Brushing teeth twice a day.
Bathing regularly.
Washing hair regularly.
Wearing clean and tidy clothes daily.
Keeping their rooms clean.
Flushing toilets after every use.
Getting nails cut when they grow big.
Keeping nails clean.
Explanation: