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Kruka [31]
3 years ago
15

If a proton and an electron are released when they are 7.00×10−10 m apart (typical atomic distances), find the initial accelerat

ion of each of them. aelectron = nothing m/s2
Physics
1 answer:
Ugo [173]3 years ago
7 0

Answer:

The acceleration of the proton is 2.823 x 10¹⁷ m/s²

The acceleration of the electron is 5.175 x 10²⁰ m/s²

Explanation:

Given;

distance between the electron and proton, r = 7 x 10⁻¹⁰ m

mass of proton, m_p = 1.67 x 10⁻²⁷ kg

mass of electron, m_e = 9.11 x 10⁻³¹ kg

The attractive force between the two charges is given by Coulomb's law;

F = \frac{k(q_p)(q_e)}{r^2}

where;

k is Coulomb's constant = 9 x 10⁹ Nm²/c²

F = \frac{k(q_p)(q_e)}{r^2} \\\\F = \frac{(9*10^9)(1.602*10^{-19})(1.602*10^{-19})}{(7*10^{-10})^2} \\\\F = 4.714 *10^{-10} \ N

Acceleration of proton is given by;

F = ma

F = m_pa_p\\\\a_p = \frac{F}{m_p}\\\\a_p = \frac{4.714*10^{-10}}{1.67*10^{-27}}\\\\a_p = 2.823 *10^{17} \ m/s^2

Acceleration of the electron is given by;

F = m_ea_e\\\\a_e = \frac{F}{m_e}\\\\a_e = \frac{4.714*10^{-10}}{9.11*10^{-31}}\\\\a_e = 5.175 *10^{20} \ m/s^2

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Hooke’s law states that the distance that a spring is stretched by hanging object varies directly as the mass of the object. If
trasher [3.6K]

Answer:

d_{2} = 33.33 cm

Explanation:

Given:

When mass, m_{1} =21 kg

          distance travelled is  d_{1}  = 140 cm

When mass, m_{2} =5 kg

         distance travelled is  d_{2}  = ?

Hooke's law state that within elastic limit, when an external force is applied to a body, the body gets deformed and when the force is released the gets back to its original form.

Therefore according to the question,

\frac{d_{1}}{m_{1}}=\frac{d_{2}}{m_{2}}

\frac{140}{21}=\frac{d_{2}}{5}

d_{2} = 33.33 cm

Distance travelled is 33.33 cm when mass is 5 kg.

8 0
3 years ago
Gardeners understand that plants have specific pH requirements. Most plants thrive in soil with a pH that is slightly acidic, ne
Delvig [45]

Answer:

D) Add a base like limestone or calcium carbonate.

Explanation:

-To reduce the soil's pH, you need to add an alkaline or base solution.

-Calcium carbonate has an alkanizing property and forms a carbonic acid and calcium hydroxide when dissolved in water.

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8 0
3 years ago
A light flashes at position x=0m. One microsecond later, a light flashes at position x=1000m. In a second reference frame, movin
padilas [110]

Answer:

To the right relative to the original frame.

Explanation:

In first reference frame <em>S</em>,

Spatial interval of the event, \rm \Delta x=1000\ m-0\ m=1000\ m.

Temporal interval of the event, \rm \Delta t = 1\ \mu s=10^{-6}\ s.

In the second reference frame <em>S'</em>, the two flashes are simultaneous, which means that the temporal interval of the event in this frame is \rm \Delta t'=0\ s.

The speed of the frame <em>S' </em>with respect to frame <em>S</em> = v.

According to the Lorentz transformation,

\rm \Delta t'=\dfrac{1}{\sqrt{1-\dfrac{v^2}{c^2}}}\left( \Delta t-\dfrac{v\Delta x}{c^2}\right ).\\\\Since,\ \Delta t'=0,\\\therefore \dfrac{1}{\sqrt{1-\dfrac{v^2}{c^2}}}\left( \Delta t-\dfrac{v\Delta x}{c^2}\right )=0\\\Rightarrow \Delta t-\dfrac{v\Delta x}{c^2}=0\\\dfrac{v\Delta x}{c^2}=\Delta t\\v=\dfrac{c^2\Delta t}{\Delta x }.\\\\Also, \ \Delta t,\ \Delta x>0\ \Rightarrow v>0.

And positive v means the velocity of the second frame<em> </em><em>S'</em> is along the positive x-axis direction, i.e., to the right direction relative to the original frame <em>S</em>.

7 0
3 years ago
Which is the amount of matter in an object? a. weight b.mass c.volume d.pounds ​
hodyreva [135]

Answer:

(1.) (A.) wight

Explanation:

8 0
3 years ago
A body of mass 9 kg moves in a (counterclockwise) circular path of radius 8 meters, making one revolution every 8 seconds. You m
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Answer:

centripetal Force=44.36\ \rm N

Explanation:

<u>Given:</u>

Mass of the body m=9\ \rm kg

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Time period T=8\ \rm s

The centripetal Force acting on the body is given by F

F=\dfrac{4\pi^2 m R}{T^2}\\F=\dfrac{4\pi^2\times 9\times8}{8^2}\\F=44.36\ \rm N

Hence the centripetal force acting on the body is calculated

6 0
3 years ago
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