1) Inversely
2) increases
3) Boyle's
4) mass
5) Kelvin
6) Charles's
7) Gay-Lussac's
8) directly
9) combined
10) the amount
<span>The pressure and volume of a fixed mass of gas are inversely related. If one decreases, the other increases. This relationship is known as Boyle's law. The volume of a fixed mass of a gas is directly proportional to its kelvin temperature. This relationship is known as Charles's law. Gay-Lussac's law states that the pressure of a gas is directly proportional to the kelvin temperature if the volume remains constant. These three separate gas laws can be written as a single expression called the combined gas law. It can be used in situations in which only the amount of gas is constant. </span>
Answer:
g
Explanation:
if an object is thrown upward or at any angle, the acceleration acting on that object is the same as acceleration due to gravity which always acts towards the vertically downwards direction because there is no acceleration or the force acting on the object in horizontal direction.
Thus, the acceleration is same as acceleration due to gravity g.
Answer:
The correct answer is "The median year built is greater than the mean year built., The median year built is between 1980 and 2000."
Explanation:
Wake country is located in the north Carolina, it is the most fastest growing country among the united nations. The town of Cary and also city of Raleigh is the 8th and the 15th fastest growing cities. Hence, the city was growing along with infrastructures as well as with the population. For proper shelter more number of the homes were built. The literacy rates were also good. A quite good number of schools and colleges are there in the city. With better medical facilities.
Answer:
![F_0 = 393 N](https://tex.z-dn.net/?f=F_0%20%3D%20393%20N)
Explanation:
As we know that amplitude of forced oscillation is given as
![A = \frac{F_0}{ m(\omega^2 - \omega_0^2)}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7BF_0%7D%7B%20m%28%5Comega%5E2%20-%20%5Comega_0%5E2%29%7D)
here we know that natural frequency of the oscillation is given as
![\omega_0 = \sqrt{\frac{k}{m}}](https://tex.z-dn.net/?f=%5Comega_0%20%3D%20%5Csqrt%7B%5Cfrac%7Bk%7D%7Bm%7D%7D)
here mass of the object is given as
![m = \frac{W}{g}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7BW%7D%7Bg%7D)
![\omega_0 = \sqrt{\frac{220}{\frac{30}{9.81}}}](https://tex.z-dn.net/?f=%5Comega_0%20%3D%20%5Csqrt%7B%5Cfrac%7B220%7D%7B%5Cfrac%7B30%7D%7B9.81%7D%7D%7D)
![\omega_0 = 8.48 rad/s](https://tex.z-dn.net/?f=%5Comega_0%20%3D%208.48%20rad%2Fs)
angular frequency of applied force is given as
![\omega = 2\pi f](https://tex.z-dn.net/?f=%5Comega%20%3D%202%5Cpi%20f)
![\omega = 2\pi(10.5) = 65.97 rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%202%5Cpi%2810.5%29%20%3D%2065.97%20rad%2Fs)
now we have
![0.03 = \frac{F_0}{3.06(65.97^2 - 8.48^2)}](https://tex.z-dn.net/?f=0.03%20%3D%20%5Cfrac%7BF_0%7D%7B3.06%2865.97%5E2%20-%208.48%5E2%29%7D)
![F_0 = 393 N](https://tex.z-dn.net/?f=F_0%20%3D%20393%20N)