Answer:
Explanation: From 13:30 to 15:00, it past: 1 h 30 mins = 1.5
Then, the distance covered by Peter: 40x1.5= 60 miles
From 13:45 to 15:00, it pasts; 1 h 15min =1.25
Then, the distance covered by Philip. 30 x 1.25 = 37.5 miles
Lastly, the distance between them: 60-37.5= 22.5 miles
So the answer is 22.5
Answer:
Change in specific internal Energy![=250\ \rm Btu/lb](https://tex.z-dn.net/?f=%3D250%5C%20%5Crm%20Btu%2Flb)
Explanation:
Given:
- Mass of the gas, m=0.4 lb
- Initial pressure and volume are
![p_1=160\ \rm lbf/in^2\ and\ v_1=1\ \rm ft^3\\](https://tex.z-dn.net/?f=p_1%3D160%5C%20%5Crm%20lbf%2Fin%5E2%5C%20and%5C%20v_1%3D1%5C%20%5Crm%20ft%5E3%5C%5C)
- Final pressure and temperature are
![p_1=480\ \rm lbf/in^2](https://tex.z-dn.net/?f=p_1%3D480%5C%20%5Crm%20lbf%2Fin%5E2)
- Heat transfer from the gas is 2.1 Btu
Since the process is isotropic we have
![p_1v_1^{1.3}=p_2v_2^{1.3}\\160\times 1^{1.3}=480\times v_2^{1.3}\\v_2=0.43\ \rm ft^3\\](https://tex.z-dn.net/?f=p_1v_1%5E%7B1.3%7D%3Dp_2v_2%5E%7B1.3%7D%5C%5C160%5Ctimes%201%5E%7B1.3%7D%3D480%5Ctimes%20v_2%5E%7B1.3%7D%5C%5Cv_2%3D0.43%5C%20%5Crm%20ft%5E3%5C%5C)
So the final volume of the gas is calculated.
Work in any isotropic is given by w
![w=\dfrac{p_1v_1-P_2v_2}{n-1}\\\\w=\dfrac{160\times1-480\times0.43}{1.3-1}\\w=-154.67\ \rm Btu\\](https://tex.z-dn.net/?f=w%3D%5Cdfrac%7Bp_1v_1-P_2v_2%7D%7Bn-1%7D%5C%5C%5C%5Cw%3D%5Cdfrac%7B160%5Ctimes1-480%5Ctimes0.43%7D%7B1.3-1%7D%5C%5Cw%3D-154.67%5C%20%5Crm%20Btu%5C%5C)
According to the first law of thermodynamics we have
![Q=\Delta U+w\\-2.1=\Delta U-154.67\\\Delta U=152.56\ \rm Btu\\](https://tex.z-dn.net/?f=Q%3D%5CDelta%20U%2Bw%5C%5C-2.1%3D%5CDelta%20U-154.67%5C%5C%5CDelta%20U%3D152.56%5C%20%5Crm%20Btu%5C%5C)
So the Specific Internal Change is given by
![\Delta u=\dfrac{\Delta U}{m}\\\Delta u=\dfrac{152.56}{0.4}\\\Delta u=250\ \rm Btu/lb](https://tex.z-dn.net/?f=%5CDelta%20u%3D%5Cdfrac%7B%5CDelta%20U%7D%7Bm%7D%5C%5C%5CDelta%20u%3D%5Cdfrac%7B152.56%7D%7B0.4%7D%5C%5C%5CDelta%20u%3D250%5C%20%5Crm%20Btu%2Flb)
So the specific Change in Internal energy is calculated.
Answer:
The acceleration due to gravity is
times the value of g at the Earth’s surface.
(D) is correct option.
Explanation:
Given that,
Radius = 4000 miles
We need to calculate the gravitational force at surface
Gravitational force on the mass m on the surface of the earth
At r = R
![F=mg](https://tex.z-dn.net/?f=F%3Dmg)
....(I)
We need to calculate the gravitational force at height
Gravitational force on a mass m from the center of the earth,
At r = R + R = 2 R
![F'=mg'](https://tex.z-dn.net/?f=F%27%3Dmg%27)
....(II)
Dividing equation (II) by equation (I)
![\dfrac{mg'}{mg}=\dfrac{\dfrac{GmM}{4R^2}}{\dfrac{GmM}{R^2}}](https://tex.z-dn.net/?f=%5Cdfrac%7Bmg%27%7D%7Bmg%7D%3D%5Cdfrac%7B%5Cdfrac%7BGmM%7D%7B4R%5E2%7D%7D%7B%5Cdfrac%7BGmM%7D%7BR%5E2%7D%7D)
![\dfrac{g'}{g}=\dfrac{1}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7Bg%27%7D%7Bg%7D%3D%5Cdfrac%7B1%7D%7B4%7D)
Hence, The acceleration due to gravity is
times the value of g at the Earth’s surface.
Because static electricity build up in our homes because we have the heaters on which suck moisture out of the air.