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3 years ago

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In the nucleus of an atom, two protons are separated by a distance of 10^-13 m. What is the Coloumb force between them? The char

ge of a proton is + 1.602 x 10^-19 C.

1 answer:

sleet_krkn [62]3 years ago

7 0

Answer:

$F=0.0231\ N$

Explanation:

<u>Electrostatic Force </u>

When two point charges $q_1$ and $q_2$ are placed at a distance d, they exert a force to each other whose magnitude can be computed by the Coulomb's formula

$\displaystyle F=\frac{k\ q_1\ q_2}{d^2}$

Where k is the constant of proportionality

$k=9.10^9\ Nw.m^2/c^2$

The information provided is

$d=10^{-13}\ m$

$q_1=q_2=+ 1.602 x 10^{-19}\ C$

Computing the Coloumb force between them

$\displaystyle F=\frac{9x10^9\ 1.602 x 10^{-19} \ 1.602 x 10^{-19} }{(10^{-13})^2}$

$\boxed{F=0.0231\ N}$

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The current theory of the structure of the

Mariana [72]

Answers:

a) $2.82(10)^{21} kg$

b) $1410 J$

c) $36.62 m/s$

Explanation:

<h3>a) Mass of the continent</h3>

Density $\rho$ is defined as a relation between mass $m$ and volume $V$ :

$\rho=\frac{m}{V}$ (1)

Where:

$\rho=2720 kg/m^{3}$ is the average density of the continent

$m$ is the mass of the continent

$V$ is the volume of the continent, which can be estimated is we assume it as a a slab of rock 5300 km on a side and 37 km deep:

$V=(length)(width)(depth)=(5300 km)(5300 km)(37 km)=1,030,330,000 km^{3} \frac{(1000 m)^{3}}{1 km^{3}}=1.03933(10)^{18} m^{3}$

Finding the mass:

$m=\rho V$ (2)

$m=(2720 kg/m^{3})(1.03933(10)^{18} m^{3})$ (3)

$m=2.82(10)^{21} kg$ (4) This is the mass of the continent

<h3>b) Kinetic energy of the continent</h3>

Kinetic energy $K$ is given by the following equation:

$K=\frac{1}{2}mv^{2}$ (5)

Where:

$m=2.82(10)^{21} kg$ is the mass of the continent

$v=4.8 \frac{cm}{year} \frac{1 m}{100 cm} \frac{1 year}{365 days} \frac{1 day}{24 hours} \frac{1 hour}{3600 s}=1(10)^{-9} m/s$ is the velocity of the continent

$K=\frac{1}{2}(2.82(10)^{21} kg)(1(10)^{-9} m/s)^{2}$ (6)

$K=1410 J$ (7) This is the kinetic energy of the continent

<h3>c) Speed of the jogger</h3>

If we have a jogger with mass $m=77 kg$ and the same kinetic energy as that of the continent $1413 J$ , we can find its velocity by isolating $v$ from (5):

$v=\sqrt{\frac{2 K}{m}}$ (6)

$v=\sqrt{\frac{2 (1413 J)}{77 kg}}$

Finally:

$v=36.62 m/s$ This is the speed of the jogger

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bearhunter [10]

Each parent contribute 50 percent. A person have 46 genes and 23 comes from the mother and 23 comes from the father

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The __________-second rule applies to any speed in ideal weather and road conditions.

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The two-second rule.

It is a common guideline to follow while driving.

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How much current will pass through a 12.5 ohm resistor when it is connected to ta 115 volt source of electrical potential?

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Answer:

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