Answer:
a)
![N_{top}=9.8N\\N_{bottom}=33.4N](https://tex.z-dn.net/?f=N_%7Btop%7D%3D9.8N%5C%5CN_%7Bbottom%7D%3D33.4N)
b) ![v_{min}=4.4m/s](https://tex.z-dn.net/?f=v_%7Bmin%7D%3D4.4m%2Fs)
Explanation:
The net force on the car must produce the centripetal acceleration necessary to make this circle, which is
. At the top of the circle, the normal force and the weight point downwards (like the centripetal force should), while at the bottom the normal force points upwards (like the centripetal force should) and the weight downwards, so we have (taking the upwards direction as positive):
![-m\frac{v^2}{R}=-N_{top}-mg\\m\frac{v^2}{R}=N_{bottom}-mg](https://tex.z-dn.net/?f=-m%5Cfrac%7Bv%5E2%7D%7BR%7D%3D-N_%7Btop%7D-mg%5C%5Cm%5Cfrac%7Bv%5E2%7D%7BR%7D%3DN_%7Bbottom%7D-mg)
Which means:
![N_{top}=m\frac{v^2}{R}-mg=(1.2kg)\frac{(6m/s)^2}{2m}-(1.2kg)(9.8m/s^2)=9.8N\\N_{bottom}=m\frac{v^2}{R}+mg=(1.2kg)\frac{(6m/s)^2}{2m}+(1.2kg)(9.8m/s^2)=33.4N](https://tex.z-dn.net/?f=N_%7Btop%7D%3Dm%5Cfrac%7Bv%5E2%7D%7BR%7D-mg%3D%281.2kg%29%5Cfrac%7B%286m%2Fs%29%5E2%7D%7B2m%7D-%281.2kg%29%289.8m%2Fs%5E2%29%3D9.8N%5C%5CN_%7Bbottom%7D%3Dm%5Cfrac%7Bv%5E2%7D%7BR%7D%2Bmg%3D%281.2kg%29%5Cfrac%7B%286m%2Fs%29%5E2%7D%7B2m%7D%2B%281.2kg%29%289.8m%2Fs%5E2%29%3D33.4N)
The limit for falling off would be
, so the minimum speed would be:
![0=m\frac{v_{min}^2}{R}-mg\\v_{min}=\sqrt{Rg}=\sqrt{(2m)(9.8m/s^2)}=4.4m/s](https://tex.z-dn.net/?f=0%3Dm%5Cfrac%7Bv_%7Bmin%7D%5E2%7D%7BR%7D-mg%5C%5Cv_%7Bmin%7D%3D%5Csqrt%7BRg%7D%3D%5Csqrt%7B%282m%29%289.8m%2Fs%5E2%29%7D%3D4.4m%2Fs)
Answer:
Trophosphere
Explanation:
The troposphere is the atmospheric layer closest to the planet and is characterized because contains the largest percentage of the mass of the total atmosphere.
On special characteristic is that in this layer the temperature and water vapor content decrease a lot respect to the altitude. Also on this layer the Water vapor is important in order to regulate the air temperature since on this zone we have absorption of the solar energy.
The troposphere contains almost all the water vapor in the atmosphere. And specially on the tropics we have an accumulation of the water vapour.
All weather phenomena occur within the troposphere. Tropos means "change" and Troposphere means "region of mixing".
Above this layer, we have the tropopause, ranges in height from 5 miles near the poles up to 11 miles above the equator. And the height depends of the seasons, with an special characteristic: the is highest height occurs in the summer and lowest height occurs in the winter.
The troposphere contains almost 75% of the mass of the entire atmosphere. The air on this layer is composed by 78% nitrogen, 21% oxygen and 1% is made of argon, water vapor, and carbon dioxide.
So for this reason this is the Region that contains the majority of molecules in the atmosphere.
Answer:
The rate clock is about
F = 8 GHz
Explanation:
f₁ = 4 G Hz , t₁ = 10 s , t₂ = 6s , f₂ = 1.2 f₁
Can organize to find the rate clock the designer build to the target so
X / 4 Ghz = 10 s , 1.2 X / Y = 6 s
X * Y = 10 s ⇒ F = 10 s
1.2 * 4 G Hz = 6 s
F = 10 * ( 1.2 * 4 G Hz ) / 6
F = 10 * ( 1.2 * 4 x 10 ⁹ Hz ) / 6
F = 8 x 10 ⁹ Hz
F = 8 GHz