Answer:
The Gravitational Force is reduced 4 times
Explanation:
The equation of Gravitational force follows:
F = (G*m1*m2)/r^2
Assume that G*m1*m2 = 1 and r = 1:
F = 1/1^2 = 1 N
Multiply the radius by 2
F = 1/2^2 = 1/4 N
So doubling the distance reduces the force 4 times.
Ignoring air resistance, the Kinetic energy before hitting the ground will be equal to the potential energy of the Piton at the top of the rock.
So we have 1/2 MV^2 = MGH
V^2 = 2GH
V = âš2GH
V = âš( 2 * 9.8 * 325)
V = âš 6370
V = 79.81 m/s
This question involves the concepts of dynamic pressure, volume flow rate, and flow speed.
It will take "5.1 hours" to fill the pool.
First, we will use the formula for the dynamic pressure to find out the flow speed of water:
![P=\frac{1}{2}\rho v^2\\\\v=\sqrt{\frac{2P}{\rho}}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B1%7D%7B2%7D%5Crho%20v%5E2%5C%5C%5C%5Cv%3D%5Csqrt%7B%5Cfrac%7B2P%7D%7B%5Crho%7D%7D)
where,
v = flow speed = ?
P = Dynamic Pressure = 55 psi
= 379212 Pa
= density of water = 1000 kg/m³
Therefore,
![v=\sqrt{\frac{2(379212\ Pa)}{1000\ kg/m^3}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cfrac%7B2%28379212%5C%20Pa%29%7D%7B1000%5C%20kg%2Fm%5E3%7D%7D)
v = 27.54 m/s
Now, we will use the formula for volume flow rate of water coming from the hose to find out the time taken by the pool to be filled:
![\frac{V}{t} = Av\\\\t =\frac{V}{Av}](https://tex.z-dn.net/?f=%5Cfrac%7BV%7D%7Bt%7D%20%3D%20Av%5C%5C%5C%5Ct%20%3D%5Cfrac%7BV%7D%7BAv%7D)
where,
t = time to fill the pool = ?
A = Area of the mouth of hose =
= 1.98 x 10⁻⁴ m²
V = Volume of the pool = (Area of pool)(depth of pool) = A(1.524 m)
V =
= 100.1 m³
Therefore,
![t = \frac{(100.1\ m^3)}{(1.98\ x\ 10^{-4}\ m^2)(27.54\ m/s)}\\\\](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%28100.1%5C%20m%5E3%29%7D%7B%281.98%5C%20x%5C%2010%5E%7B-4%7D%5C%20m%5E2%29%2827.54%5C%20m%2Fs%29%7D%5C%5C%5C%5C)
<u>t = 18353.5 s = 305.9 min = 5.1 hours</u>
Learn more about dynamic pressure here:
brainly.com/question/13155610?referrer=searchResults
The heat capacity and the specific heat
Answer:
Yes, it is reasonable to neglect it.
Explanation:
Hello,
In this case, a single molecule of oxygen weights 32 g (diatomic oxygen) thus, the mass of kilograms is (consider Avogadro's number):
![m=1molec*\frac{1mol}{6.022x10^{23}molec} *\frac{32g}{1mol}*\frac{1kg}{1000g}=5.31x10^{-26}kg](https://tex.z-dn.net/?f=m%3D1molec%2A%5Cfrac%7B1mol%7D%7B6.022x10%5E%7B23%7Dmolec%7D%20%2A%5Cfrac%7B32g%7D%7B1mol%7D%2A%5Cfrac%7B1kg%7D%7B1000g%7D%3D5.31x10%5E%7B-26%7Dkg)
After that, we compute the potential energy 1.00 m above the reference point:
![U=mhg=5.31x10^{-26}kg*1.00m*9.8\frac{m}{s^2}=5.2x10^{-25}J](https://tex.z-dn.net/?f=U%3Dmhg%3D5.31x10%5E%7B-26%7Dkg%2A1.00m%2A9.8%5Cfrac%7Bm%7D%7Bs%5E2%7D%3D5.2x10%5E%7B-25%7DJ)
Then, we compute the average kinetic energy at the specified temperature:
![K=\frac{3}{2}\frac{R}{Na}T](https://tex.z-dn.net/?f=K%3D%5Cfrac%7B3%7D%7B2%7D%5Cfrac%7BR%7D%7BNa%7DT)
Whereas
stands for the Avogadro's number for which we have:
![K=\frac{3}{2} \frac{8.314\frac{J}{mol*K}}{6.022x10^{23}/mol}*(23+273)K\\ \\K=6.13x10^{-21}J](https://tex.z-dn.net/?f=K%3D%5Cfrac%7B3%7D%7B2%7D%20%5Cfrac%7B8.314%5Cfrac%7BJ%7D%7Bmol%2AK%7D%7D%7B6.022x10%5E%7B23%7D%2Fmol%7D%2A%2823%2B273%29K%5C%5C%20%5C%5CK%3D6.13x10%5E%7B-21%7DJ)
In such a way, since the average kinetic energy energy is about 12000 times higher than the potential energy, it turns out reasonable to neglect the potential energy.
Regards.