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Dmitriy789 [7]
3 years ago
15

Three point charges, each with q = 3 nC, are located at the corners of a triangle in the x-y plane, with one corner at the origi

n, another at (2 cm, 0, 0) and the third at (0, 2 cm, 0). Find the force acting on the charge located at the origin.
Engineering
1 answer:
lawyer [7]3 years ago
6 0

Answer:

\vec F_{A} = -67500\,N\cdot (i + j)

Explanation:

The position of each point are the following:

A = (0\,m,0\,m,0\,m), B = (0.02\,m,0\,m,0\,m), C = (0\,m,0.02\,m,0\,m)

Since the three objects report charges with same sign, then, net force has a repulsive nature. The net force experimented by point charge A is:

\vec F_{A} = \vec F_{AB} + \vec F_{AC}

\vec F_{A} = -\frac{k\cdot q^{2}}{r_{AB}^{2}}\cdot i - \frac{k\cdot q^{2}}{r_{AC}^{2}}\cdot j

\vec F_{A} = - \frac{k\cdot q^{2}}{r^{2}} \cdot (i + j)

\vec F_{A} = -\frac{(9 \times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}} )\cdot (3\times 10^{-9}\,C)}{(0.02\,m)^{2}}\cdot (i + j)

\vec F_{A} = -67500\,N\cdot (i + j)

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We know that

{v}^{2}  -  {u}^{2}  = 2as \\  {20}^{2}  -  {10}^{2}  = 2 \times a \times 100 \\ 400 - 100 = 200 \times a \\ a =  \frac{300}{200 }  =  \frac{3}{2}  \: m {s}^{ - 2}

Now, we substitute v, u, and a in the formula

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6 0
3 years ago
An old refrigerator consumes 247 W of power. Assuming that the refrigerator operates for 19 hours everyday, what is the annual o
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Answer:

The annual operating cost of the refrigerator is $102.78.

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Annual energy consumed = 0.247 kW × 6,935 hours = 1712.945 kWh

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