Answer:
X₃₁ = 0.58 m and X₃₂ = -1.38 m
Explanation:
For this exercise we use Newton's second law where the force is the Coulomb force
F₁₃ - F₂₃ = 0
F₁₃ = F₂₃
Since all charges are of the same sign, forces are repulsive
F₁₃ = k q₁ q₃ / r₁₃²
F₂₃ = k q₂ q₃ / r₂₃²
Let's find the distances
r₁₃ = x₃- 0
r₂₃ = 2 –x₃
We substitute
k q q / x₃² = k 4q q / (2-x₃)²
q² (2 - x₃)² = 4 q² x₃²
4- 4x₃ + x₃² = 4 x₃²
5x₃² + 4 x₃ - 4 = 0
We solve the quadratic equation
x₃ = [-4 ±√(16 - 4 5 (-4)) ] / 2 5
x₃ = [-4 ± 9.80] 10
X₃₁ = 0.58 m
X₃₂ = -1.38 m
For this two distance it is given that the two forces are equal
<span>Learning by assimilation is so effective for it involves a
concise and logical approach. Most people who require clear understanding and explanation
of ideas, information and abstract concepts must use this approach of learning.
The reason is that, they are more attracted to logically sound theories rather than more
focus on people approach and based on practical value. </span>
In assimilating learning, people prefer readings, listening to
lectures, exploring analytical models, and having time to think things through
on their own. With this, all the important concept and data is clearly
inculcated and stored in mind.
C. Textiles
It was the first thing mechanized in the Industrial Revolution
Power is a dimension that expresses the amount of energy exerted or absorbed by a system by the given time. To determine the amount of energy absorbed, we simply have to multiply the energy by the number of time.
Energy = (80 x 10^6 J/s)(1 h)(60 s/ 1 hr)
Energy = 4.8 x 10^9 J
Answer: 4.8 x 10^9 J
Remember that sound intensity decreases in inverse proportion to the distance squared. So, to solve this we are going to use the inverse square formula:
where
is the intensity at distance 2
is the intensity at distance 1
is distance 2
is distance 1
We can infer for our problem that
,
, and
. Lets replace those values in our formula to find
:
dB
We can conclude that the intensity of the sound when is <span>3 m from the source is
30 dB.</span>