Answer:
![c_3_0_0_K=347.19m/s](https://tex.z-dn.net/?f=c_3_0_0_K%3D347.19m%2Fs)
![M=0.864](https://tex.z-dn.net/?f=M%3D0.864)
Explanation:
The speed of sound in the air increases 0.6 m / s for every 1 ° C increase in temperature. An approximate speed can be calculated using the following empirical formula:
![c=331.5+0.6\vartheta](https://tex.z-dn.net/?f=c%3D331.5%2B0.6%5Cvartheta)
Where:
![\vartheta=T-273.15K\\\\](https://tex.z-dn.net/?f=%5Cvartheta%3DT-273.15K%5C%5C%5C%5C)
A more exact equation, usually referred to as adiabatic velocity of sound, is given by the following formula:
![c=\sqrt{k*R*T}](https://tex.z-dn.net/?f=c%3D%5Csqrt%7Bk%2AR%2AT%7D)
Where:
![R= Gas\hspace{3}constant\hspace{3}of\hspace{3}air=0.287kJ/kg*K=287J/kg*K\\k=Specific\hspace{3}heat\hspace{3}ratio=1.4\\T=Temperature=300K](https://tex.z-dn.net/?f=R%3D%20Gas%5Chspace%7B3%7Dconstant%5Chspace%7B3%7Dof%5Chspace%7B3%7Dair%3D0.287kJ%2Fkg%2AK%3D287J%2Fkg%2AK%5C%5Ck%3DSpecific%5Chspace%7B3%7Dheat%5Chspace%7B3%7Dratio%3D1.4%5C%5CT%3DTemperature%3D300K)
Hence:
![c=\sqrt{(287)*(1.4)*(300)} =347.1887095\approx347.19m/s](https://tex.z-dn.net/?f=c%3D%5Csqrt%7B%28287%29%2A%281.4%29%2A%28300%29%7D%20%3D347.1887095%5Capprox347.19m%2Fs)
Now, the Mach number at which an aircraft is flying can be calculated by:
![M=\frac{u}{c}](https://tex.z-dn.net/?f=M%3D%5Cfrac%7Bu%7D%7Bc%7D)
Where:
![u= Velocity\hspace{3}of\hspace{3}the\hspace{3}moving\hspace{3}aircraft\\c= Speed\hspace{3}of\hspace{3}sound\hspace{3}at\hspace{3}the\hspace{3}given \hspace{3}altitude](https://tex.z-dn.net/?f=u%3D%20Velocity%5Chspace%7B3%7Dof%5Chspace%7B3%7Dthe%5Chspace%7B3%7Dmoving%5Chspace%7B3%7Daircraft%5C%5Cc%3D%20Speed%5Chspace%7B3%7Dof%5Chspace%7B3%7Dsound%5Chspace%7B3%7Dat%5Chspace%7B3%7Dthe%5Chspace%7B3%7Dgiven%20%5Chspace%7B3%7Daltitude)
Therefore:
![M=\frac{300}{347.19} =0.8640833984\approx0.864](https://tex.z-dn.net/?f=M%3D%5Cfrac%7B300%7D%7B347.19%7D%20%3D0.8640833984%5Capprox0.864)
You'll use the equation F=MA
F= force
M= mass
A= acceleration
So you'll have to rewrite the equation so it says M=F/A
Then you just fill in the variables.
M= 4000 N / 4 m/s
Giving the answer of mass = 1000
Answer:
Explanation:
A correlation of +0.95 between two variables signifies a strong positive relationship between the two measured variables (the dependent and independent). The value is usylay called the correlation Coefficient (r) as it measures the level or degree of relationship or correlation between two measured linear variables. The value ranges between - 1 and +1 with + signifying a positive relationship (increase or decrease in one variable leads to corresponding increase or decrease in the other) while a negative correlation means (a decrease in A leads to increase in B and vice versa). A correlation Coefficient of 0 means no relationship and the strength of the relationship increases as the value approaches - 1 or +1.
Because they are so far away that the distance has to be measured in light years. Each light year is around 10 trillion kilometers, which is a very large distance.
Explanation:
X-rays are almost same as the visible light as they both electromagnetic waves with same speed. However, the only difference the energy level of photons of X- rays are higher than those of the visible light. This is because the frequency of the X-rays are higher.
E= ![h\nu](https://tex.z-dn.net/?f=h%5Cnu)
h= plank's constant and \nu is the frequency of the wave. So, higher the frequency higher will be the energy of the wave.