The electric field strength at any point from a charged particle is given by E = kq/r^2 and we can use this to calculate the field strength of the two fields individually at the midpoint.
The field strength at midway (r = 0.171/2 = 0.0885 m) for particle 1 is E = (8.99x10^9)(-1* 10^-7)/(0.0885)^2 = -7.041 N/C and the field strength at midway for particle 2 is E = (8.99x10^9)(5.98* 10^-7)/(0.0935)^2 = <span>-7.041 N/C
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Note the sign of the field for particle 1 is negative so this is attractive for a test charge whereas for particle 2 it is positive therefore their equal magnitudes will add to give the magnitude of the net field, 2*<span>7.041 N/C </span>= 14.082 N/C
Hello there,
I hope you and your family are staying safe and healthy during this winter season.
![x^2 + y^2 -6x+14y-1=0](https://tex.z-dn.net/?f=x%5E2%20%2B%20y%5E2%20-6x%2B14y-1%3D0)
We need to use the Quadratic Formula*
, ![\frac{-b-\sqrt{b^2} -4ac }{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b-%5Csqrt%7Bb%5E2%7D%20-4ac%20%7D%7B2a%7D)
Thus, given the problem:
![a = 1, b=-6, c=y^2+14y-1](https://tex.z-dn.net/?f=a%20%3D%201%2C%20b%3D-6%2C%20c%3Dy%5E2%2B14y-1)
So now we just need to plug them in the Quadratic Formula*
, ![x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B6-%5Csqrt%7B%28-6%29%5E2-4%28y%5E2%2B14y-1%29%7D%20%7D%7B2%7D)
As you can see, it is a mess right now. Therefore, we need to simplify it
, ![x = \frac{6-2\sqrt{10-y^2-14y} }{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B6-2%5Csqrt%7B10-y%5E2-14y%7D%20%7D%7B2%7D)
Now that's get us to the final solution:
, ![x=3-\sqrt{10-y^2-14y}](https://tex.z-dn.net/?f=x%3D3-%5Csqrt%7B10-y%5E2-14y%7D)
It is my pleasure to help students like you! If you have additional questions, please let me know.
Take care!
~Garebear
Answer:
400
Step-by-step explanation:
354>=350 and thus is rounded upwards to 400.
Answer:
I guess each friend gets 16 oranges and its gonna be uneven there is gonna be like 1 left over
Step-by-step explanation: