Over 200,000 species of plants can live in rain forests
You will lose your balance
<span>The speed of the roller coaster when it has to start a similar identical hill the speed would be exactly the same that is 6.0 m/s. And the fact that there is an absence of both friction and air resistance helps us get to this conclusion that it is same as in the previous case.</span>
Answer:
Explanation:
Given that:
The mass of the cell is 9.0 x 10^-14 kg
The charges of the cell is -2.5pC and the other -3.30 pC
![q_1=-2.5\times10^{-12}C \ \ and \ \ q_2=-3.75\times10^{-12}C](https://tex.z-dn.net/?f=q_1%3D-2.5%5Ctimes10%5E%7B-12%7DC%20%5C%20%5C%20and%20%5C%20%5C%20q_2%3D-3.75%5Ctimes10%5E%7B-12%7DC)
Radius is 3.75 × 10-6 m
The final distance is twice the radius
i.e ![2*(3.75 \times 10^{-6}) = 7.5*10^{-6}m](https://tex.z-dn.net/?f=2%2A%283.75%20%5Ctimes%2010%5E%7B-6%7D%29%20%3D%207.5%2A10%5E%7B-6%7Dm)
The formula for the velocity of the cell is
![mv^2=\frac{q_1q_2}{4\pi \epsilon 2 r} \\](https://tex.z-dn.net/?f=mv%5E2%3D%5Cfrac%7Bq_1q_2%7D%7B4%5Cpi%20%5Cepsilon%202%20r%7D%20%5C%5C)
![v=\sqrt{\frac{q_1q_2}{4\pi \epsilon 2 r} }](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cfrac%7Bq_1q_2%7D%7B4%5Cpi%20%5Cepsilon%202%20r%7D%20%7D)
![=\sqrt{\frac{(-2.5\times10^{-12})(-3.3\times10^{-12}}{4(3.14)(8.85\times10^{-112}(2\times3.75\times10^{-6})(9\times10^{-14})} } \\\\=\sqrt{\frac{(-8.25\times10^{-24})}{(7503.03\times10^{-32})} } \\\\=\sqrt{109955.5779} \\\\=331.60m/s](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B%28-2.5%5Ctimes10%5E%7B-12%7D%29%28-3.3%5Ctimes10%5E%7B-12%7D%7D%7B4%283.14%29%288.85%5Ctimes10%5E%7B-112%7D%282%5Ctimes3.75%5Ctimes10%5E%7B-6%7D%29%289%5Ctimes10%5E%7B-14%7D%29%7D%20%7D%20%5C%5C%5C%5C%3D%5Csqrt%7B%5Cfrac%7B%28-8.25%5Ctimes10%5E%7B-24%7D%29%7D%7B%287503.03%5Ctimes10%5E%7B-32%7D%29%7D%20%7D%20%5C%5C%5C%5C%3D%5Csqrt%7B109955.5779%7D%20%5C%5C%5C%5C%3D331.60m%2Fs)
The maximum acceleration of the cells as they move toward each other and just barely touch is
![ma= \frac{q_1q_2}{4\pi \epsilon (2r)^2} \\\\a= \frac{q_1q_2}{4\pi \epsilon (2r)^2(m)}](https://tex.z-dn.net/?f=ma%3D%20%5Cfrac%7Bq_1q_2%7D%7B4%5Cpi%20%5Cepsilon%20%282r%29%5E2%7D%20%5C%5C%5C%5Ca%3D%20%5Cfrac%7Bq_1q_2%7D%7B4%5Cpi%20%5Cepsilon%20%282r%29%5E2%28m%29%7D)
![=\frac{(-2.5\times10^{-12})(-3.3\times10^{-12})}{4(3.14)(8.85\times10^{-12})(2\times3.75\times10^{-6})^2(9\times10^{-14})}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%28-2.5%5Ctimes10%5E%7B-12%7D%29%28-3.3%5Ctimes10%5E%7B-12%7D%29%7D%7B4%283.14%29%288.85%5Ctimes10%5E%7B-12%7D%29%282%5Ctimes3.75%5Ctimes10%5E%7B-6%7D%29%5E2%289%5Ctimes10%5E%7B-14%7D%29%7D)
![=\frac{(-8.25\times10^{-24})}{(56272.725\times10^{-38})} \\\\=1.47\times10^{10}m/s^2](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%28-8.25%5Ctimes10%5E%7B-24%7D%29%7D%7B%2856272.725%5Ctimes10%5E%7B-38%7D%29%7D%20%5C%5C%5C%5C%3D1.47%5Ctimes10%5E%7B10%7Dm%2Fs%5E2)