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2 years ago

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Physics

1 answer:

olasank [31]2 years ago

8 0

This question involves the concept of Colomb's Law and electrostatic force.

The electrostatic force will be "0.2 N".

<h3>COLOMB'S LAW:</h3>

According to Colomb's Law, every charge exerts an electrostatic force on the other charge, which is directly proportional to the product of the magnitudes of both the charges and inversely proportional to the square of the distance between them.

$F=\frac{kq_1q_2}{r^2}$

where,

F = electrostatic force
k = Colomb's constant = 9 x 10⁹ N.m²/C²
q₁ = magnitude of first charge
q₂ = magnitude of second charge
r = distance between charges

In case of +2 C charges:

q₁ = q₂ = 2 C
r = ?
F = 0.1 N

Therefore,

$0.1\ N = \frac{(9\ x\ 10^9\ N.m^2/C^2)(2\ C)(2\ C)}{r^2}\\\\r^2=\frac{(9\ x\ 10^9\ N.m^2/C^2)(2\ C)(2\ C)}{0.1\ N}\\\\r^2=3.6\ x\ 10^{11}\ m^2$

Now, for the second case:

F = ?
q₁ = 2 C
q₂ = 4 C
r² = 3.6 x 10¹¹ m²

Therefore,

$F=\frac{(9\ x\ 10^9\ N.m^2/C^2)(2\ C)(4\ C)}{3.6\ x\ 10^{11}\ m^2}$

Learn more about Colomb's Law here:

brainly.com/question/9774180

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"a grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. the angular speed is then increased to 1

kotegsom [21]

The average angular speed of the grindstone is 10 rad/s

$\texttt{ }$

<h3>Further explanation</h3>

<em>Let's recall </em><em>Angular Speed</em><em> formula as follows:</em>

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$\texttt{ }$

<u>Given:</u>

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final angular speed = ω = 12 rad/s

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<u>Asked:</u>

average angular speed = ?

<u>Solution:</u>

<em>Firstly , we will calculate </em><em>angular displacement </em><em>as follows:</em>

$\theta = \frac{( \omega + \omega_o )}{2} t$

$\theta = \frac{ ( 12 + 8.0 ) }{2} \times 4.0$

$\theta = 10 \times 4.0$

$\boxed {\theta = 40 \texttt{ rad}}$

$\texttt{ }$

<em>Next , we could calculate the </em><em>average angular speed</em><em> as follows:</em>

$\texttt{average angular speed} = \theta \div t$

$\texttt{average angular speed} = 40 \div 4.0$

$\boxed{\texttt{average angular speed} = 10 \texttt{ rad/s}}$

$\texttt{ }$

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$\texttt{ }$

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Rotational Dynamics

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