Boyle's law is the answer
Photosynthesis's products are the reactants for cellular respiration. Photosynthesis equation: 6CO2 + 6H2O+ light ->C6H12O6 + 6O2. Then basically swap it and instead of light out in energy: C6H12O6 + 6O2 -> 6CO2 + 6H2O + Energy. Hope this helps!
Average velocity over a given time interval is the distance traveled divided by the time:
Answer:
Frequency, f = 3.24 Hz
Explanation:
Given that,
Mass of the person, m = 78 kg
Mass of the car, M = 2667 kg
Distance, x = 2.35 cm
Let k is the spring constant of the spring. It can be calculated using Hooke's law as :
![F=kx](https://tex.z-dn.net/?f=F%3Dkx)
![k=\dfrac{F}{x}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7BF%7D%7Bx%7D)
![k=\dfrac{g(M+m)}{x}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7Bg%28M%2Bm%29%7D%7Bx%7D)
![k=\dfrac{9.8\times (2667+78)}{2.35\times 10^{-2}}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B9.8%5Ctimes%20%282667%2B78%29%7D%7B2.35%5Ctimes%2010%5E%7B-2%7D%7D)
![k=1.14\times 10^6\ N/m](https://tex.z-dn.net/?f=k%3D1.14%5Ctimes%2010%5E6%5C%20N%2Fm)
The frequency of oscillation is given by :
![f=\dfrac{1}{2\pi}\sqrt{\dfrac{k}{m}}](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7B1%7D%7B2%5Cpi%7D%5Csqrt%7B%5Cdfrac%7Bk%7D%7Bm%7D%7D)
![f=\dfrac{1}{2\pi}\sqrt{\dfrac{1.14\times 10^6}{(2667+78)}}](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7B1%7D%7B2%5Cpi%7D%5Csqrt%7B%5Cdfrac%7B1.14%5Ctimes%2010%5E6%7D%7B%282667%2B78%29%7D%7D)
f = 3.24 Hz
So, the frequency with which the car and passenger vibrate on the springs is 3.24 Hz. Hence, this is the required solution.
The angle theta of the spring is 31 degrees. To solve for this, show the equation which is equal to the 10lb ball. With this, the unknown will be the angle. Then transpose/transfer the terms in order to isolate the variable for the angle. First solve for s, then solve for angle theta. You will come up with s = .5849 ft and angle theta = 31.2629 or 31 degrees. Hope this helps.