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Jlenok [28]
3 years ago
8

A negative charge of - 8.0 x 10^-6 C exerts an attractive force of 12 N on a second charge that is

Physics
2 answers:
Sever21 [200]3 years ago
7 0

Answer:

q₂ = + 4.17 x 10⁺⁷ C

Explanation:

From Coulomb's Law, we know that force of attraction or repulsion between two charges is given by:

F = kq₁q₂/r²

where,

F = force = 12 N

k = Coulomb's Constant = 9 x 10⁹ Nm²/C²

q₁ = magnitude of 1st charge = 8 x 10⁻⁶ C

r = distance between charges = 0.05 m

q₂ = magnitude of second charge = ?

Therefore,

12 N = (9 x 10⁹ Nm²/C²)(8 x 10⁻⁶ C)(q₂)/(0.05 m)²

0.03 Nm² = (72000 Nm²/C²)(q₂)

q₂ = (0.03 Nm²)/(72000 Nm²/C²)

<u>q₂ = + 4.17 x 10⁺⁷ C</u>

<u>It is a positive charge, because there is attraction between opposite charges only.</u>

Umnica [9.8K]3 years ago
6 0

Answer:

<h2>Magnitude of the second charge is -4.17*10^{-7}C</h2>

Explanation:

According to columbs law;

F = kq1q2/r^{2}

F is the attractive or repulsive force between the charges = 12N

q1 and q2 are the charges

let q1 = - 8.0 x 10^-6 C

q2=?

r is the distance between the charges = 0.050m

k is the coulumbs constant =9*10⁹ kg⋅m³⋅s⁻⁴⋅A⁻²

On substituting the given values

12 = 9*10⁹*( - 8.0 x 10^-6)q2/0.050²

Cross multiplying

0.03=9*10^{9}*  -8.0*10^{-6} q2\\0.03 = -72*10^{3} q2\\q2 = \frac{0.03}{ -72*10^{3}} \\q2 = -4.17*10^{-7}C

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\%A_F=77.335\%

Explanation:

Given:

  • diameter of tank, d=14\ ft
  • level of the tank filled in its horizontal position, h=13\ ft
  • Now refer the schematic that show water with blue colour.

The triangle ORQ is symmetric about OS as it comes from center O on the cord QR at S.

RO=QO=7\ ft (∵ radius of the cylinder)

RS=\sqrt{RO^2-OS^2}

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A_t=\frac{1}{2}\times QR\times OS

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\cos\theta=\frac{OS}{OR}

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\rangle ROQ=360^{\circ}-\theta^{\circ}

\rangle ROQ=360^{\circ}-31.0027^{\circ}

\rangle ROQ=328.9973^{\circ}

Now the area of sector ROQPR:

We have the area of full circle, A=\pi.r^2

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hence for sector:

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A_F=A_S+A_t

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Now the percentage of total capacity used:

\%A_F=\frac{A_F}{A}\times 100\%

\%A_F=\frac{119.0478}{153.9380} \times 100

\%A_F=77.335\%

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