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Sergeu [11.5K]
1 year ago
11

State coulomb's law mathematically

Physics
1 answer:
Vsevolod [243]1 year ago
7 0

Coulomb's law is express as:

\begin{gathered} F=k\frac{q_1q_2}{r^2} \\ \text{ where} \\ k\text{ is Coulomb's constant} \\ q_1\text{ and }q_2\text{ are the charges} \\ r\text{ is the distance between charges} \end{gathered}

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At what stage of a reaction do atoms have the highest energy?
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Question 8
viktelen [127]

Answer: D(t) = 8.e^{-0.4t}.cos(\frac{\pi }{6}.t )

Explanation: A harmonic motion of a spring can be modeled by a sinusoidal function, which, in general, is of the form:

y = a.sin(\omega.t) or y = a.cos(\omega.t)

where:

|a| is initil displacement

\frac{2.\pi}{\omega} is period

For a Damped Harmonic Motion, i.e., when the spring doesn't bounce up and down forever, equations for displacement is:

y=a.e^{-ct}.cos(\omega.t) or y=a.e^{-ct}.sin(\omega.t)

For this question in particular, initial displacement is maximum at 8cm, so it is used the cosine function:

y=a.e^{-ct}.cos(\omega.t)

period = \frac{2.\pi}{\omega}

12 = \frac{2.\pi}{\omega}

ω = \frac{\pi}{6}

Replacing values:

D(t)=8.e^{-0.4t}.cos(\frac{\pi}{6} .t)

The equation of displacement, D(t), of a spring with damping factor is D(t)=8.e^{-0.4t}.cos(\frac{\pi}{6} .t).

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3 years ago
How would you know if a force is acting on an object?​
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6 0
2 years ago
Read 2 more answers
A solid sphere with a radius of 50.0 cm has a total positive charge of 40.0 μC uniformly distributed in its volume. Calculate th
il63 [147K]

Answer:

E=2.88\times 10^5\ N/C                              

Explanation:

It is given that,

The radius of the solid sphere, R = 50 cm = 0.5 m

Charge on the sphere, q=40\ \mu C=40\times 10^{-6}\ C

We need to find the magnitude of the electric field r = 10.0 cm away from the center of the sphere. The electric field at point r away form the center of the sphere is given by :

E=\dfrac{kqr}{R^3}

E=\dfrac{9\times 10^9\times 40\times 10^{-6}\times 0.1}{0.5^3}

E=2.88\times 10^5\ N/C

So, the electric field 10.0 cm away from the center of the sphere is 2.88\times 10^5\ N/C. Hence, this is the required solution.              

7 0
3 years ago
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